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Finding the Fourth Proportional to 16,407.74, 22,642.71 and 8,955.74

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Solution

The fourth proportional to 16,407.74, 22,642.71 and 8,955.74 is: 12,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.74 : 22,642.71 = 8,955.74 : x
  2. Step 2: Convert to fraction form
    16,407.74/22,642.71 = 8,955.74/x
  3. Step 3: Cross multiply
    16,407.74x = 22,642.71 × 8,955.74
  4. Step 4: Simplify right side
    16,407.74x = 202,782,223.66
  5. Step 5: Solve for x
    x = 202,782,223.66/16,407.74
  6. Step 6: Final answer
    x = 12,358.94

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