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Finding the Fourth Proportional to 16,220.97, 22,387.14 and 9,509.28

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Solution

The fourth proportional to 16,220.97, 22,387.14 and 9,509.28 is: 13,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.97 : 22,387.14 = 9,509.28 : x
  2. Step 2: Convert to fraction form
    16,220.97/22,387.14 = 9,509.28/x
  3. Step 3: Cross multiply
    16,220.97x = 22,387.14 × 9,509.28
  4. Step 4: Simplify right side
    16,220.97x = 212,885,498.71
  5. Step 5: Solve for x
    x = 212,885,498.71/16,220.97
  6. Step 6: Final answer
    x = 13,124.09

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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.