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Finding the Fourth Proportional to 17,458.61, 24,092.17 and 9,500.84

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Solution

The fourth proportional to 17,458.61, 24,092.17 and 9,500.84 is: 13,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.61 : 24,092.17 = 9,500.84 : x
  2. Step 2: Convert to fraction form
    17,458.61/24,092.17 = 9,500.84/x
  3. Step 3: Cross multiply
    17,458.61x = 24,092.17 × 9,500.84
  4. Step 4: Simplify right side
    17,458.61x = 228,895,744.69
  5. Step 5: Solve for x
    x = 228,895,744.69/17,458.61
  6. Step 6: Final answer
    x = 13,110.77

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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.