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Finding the Fourth Proportional to 16,566.13, 22,861.26 and 9,114.13

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Solution

The fourth proportional to 16,566.13, 22,861.26 and 9,114.13 is: 12,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.13 : 22,861.26 = 9,114.13 : x
  2. Step 2: Convert to fraction form
    16,566.13/22,861.26 = 9,114.13/x
  3. Step 3: Cross multiply
    16,566.13x = 22,861.26 × 9,114.13
  4. Step 4: Simplify right side
    16,566.13x = 208,360,335.73
  5. Step 5: Solve for x
    x = 208,360,335.73/16,566.13
  6. Step 6: Final answer
    x = 12,577.49

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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.