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Finding the Fourth Proportional to 17,834.64, 24,614.40 and 10,279.53

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Solution

The fourth proportional to 17,834.64, 24,614.40 and 10,279.53 is: 14,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.64 : 24,614.40 = 10,279.53 : x
  2. Step 2: Convert to fraction form
    17,834.64/24,614.40 = 10,279.53/x
  3. Step 3: Cross multiply
    17,834.64x = 24,614.40 × 10,279.53
  4. Step 4: Simplify right side
    17,834.64x = 253,024,463.23
  5. Step 5: Solve for x
    x = 253,024,463.23/17,834.64
  6. Step 6: Final answer
    x = 14,187.25

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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.