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Finding the Fourth Proportional to 17,420.34, 24,039.16 and 9,462.55

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Solution

The fourth proportional to 17,420.34, 24,039.16 and 9,462.55 is: 13,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420.34 : 24,039.16 = 9,462.55 : x
  2. Step 2: Convert to fraction form
    17,420.34/24,039.16 = 9,462.55/x
  3. Step 3: Cross multiply
    17,420.34x = 24,039.16 × 9,462.55
  4. Step 4: Simplify right side
    17,420.34x = 227,471,753.46
  5. Step 5: Solve for x
    x = 227,471,753.46/17,420.34
  6. Step 6: Final answer
    x = 13,057.83

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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.