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Finding the Fourth Proportional to 17,538.46, 24,199.11 and 10,463.50

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Solution

The fourth proportional to 17,538.46, 24,199.11 and 10,463.50 is: 14,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.46 : 24,199.11 = 10,463.50 : x
  2. Step 2: Convert to fraction form
    17,538.46/24,199.11 = 10,463.50/x
  3. Step 3: Cross multiply
    17,538.46x = 24,199.11 × 10,463.50
  4. Step 4: Simplify right side
    17,538.46x = 253,207,387.49
  5. Step 5: Solve for x
    x = 253,207,387.49/17,538.46
  6. Step 6: Final answer
    x = 14,437.26

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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.