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Finding the Fourth Proportional to 17,763.60, 24,541.66 and 13,529

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Solution

The fourth proportional to 17,763.60, 24,541.66 and 13,529 is: 18,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.60 : 24,541.66 = 13,529 : x
  2. Step 2: Convert to fraction form
    17,763.60/24,541.66 = 13,529/x
  3. Step 3: Cross multiply
    17,763.60x = 24,541.66 × 13,529
  4. Step 4: Simplify right side
    17,763.60x = 332,024,118.14
  5. Step 5: Solve for x
    x = 332,024,118.14/17,763.60
  6. Step 6: Final answer
    x = 18,691.26

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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.