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Finding the Fourth Proportional to 16,407.70, 22,642.50 and 9,334.51

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Solution

The fourth proportional to 16,407.70, 22,642.50 and 9,334.51 is: 12,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.70 : 22,642.50 = 9,334.51 : x
  2. Step 2: Convert to fraction form
    16,407.70/22,642.50 = 9,334.51/x
  3. Step 3: Cross multiply
    16,407.70x = 22,642.50 × 9,334.51
  4. Step 4: Simplify right side
    16,407.70x = 211,356,621.07
  5. Step 5: Solve for x
    x = 211,356,621.07/16,407.70
  6. Step 6: Final answer
    x = 12,881.55

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1.5x scale

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.