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Finding the Fourth Proportional to 16,562.72, 22,855.17 and 9,755.66

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Solution

The fourth proportional to 16,562.72, 22,855.17 and 9,755.66 is: 13,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.72 : 22,855.17 = 9,755.66 : x
  2. Step 2: Convert to fraction form
    16,562.72/22,855.17 = 9,755.66/x
  3. Step 3: Cross multiply
    16,562.72x = 22,855.17 × 9,755.66
  4. Step 4: Simplify right side
    16,562.72x = 222,967,267.76
  5. Step 5: Solve for x
    x = 222,967,267.76/16,562.72
  6. Step 6: Final answer
    x = 13,462.00

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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.