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Finding the Fourth Proportional to 24,770.86, 37,092.85 and 13,665.20

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Solution

The fourth proportional to 24,770.86, 37,092.85 and 13,665.20 is: 20,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.86 : 37,092.85 = 13,665.20 : x
  2. Step 2: Convert to fraction form
    24,770.86/37,092.85 = 13,665.20/x
  3. Step 3: Cross multiply
    24,770.86x = 37,092.85 × 13,665.20
  4. Step 4: Simplify right side
    24,770.86x = 506,881,213.82
  5. Step 5: Solve for x
    x = 506,881,213.82/24,770.86
  6. Step 6: Final answer
    x = 20,462.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.