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Finding the Fourth Proportional to 16,407,443.64, 22,642,728.76 and 9,065,749.74

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Solution

The fourth proportional to 16,407,443.64, 22,642,728.76 and 9,065,749.74 is: 12,510,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407,443.64 : 22,642,728.76 = 9,065,749.74 : x
  2. Step 2: Convert to fraction form
    16,407,443.64/22,642,728.76 = 9,065,749.74/x
  3. Step 3: Cross multiply
    16,407,443.64x = 22,642,728.76 × 9,065,749.74
  4. Step 4: Simplify right side
    16,407,443.64x = 205,273,312,368,860.53
  5. Step 5: Solve for x
    x = 205,273,312,368,860.53/16,407,443.64
  6. Step 6: Final answer
    x = 12,510,986.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.