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Finding the Fourth Proportional to 16,642.24, 22,966.43 and 9,088.66

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Solution

The fourth proportional to 16,642.24, 22,966.43 and 9,088.66 is: 12,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.24 : 22,966.43 = 9,088.66 : x
  2. Step 2: Convert to fraction form
    16,642.24/22,966.43 = 9,088.66/x
  3. Step 3: Cross multiply
    16,642.24x = 22,966.43 × 9,088.66
  4. Step 4: Simplify right side
    16,642.24x = 208,734,073.68
  5. Step 5: Solve for x
    x = 208,734,073.68/16,642.24
  6. Step 6: Final answer
    x = 12,542.43

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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.