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Finding the Fourth Proportional to 24,770.61, 37,092.47 and 13,664.96

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Solution

The fourth proportional to 24,770.61, 37,092.47 and 13,664.96 is: 20,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.61 : 37,092.47 = 13,664.96 : x
  2. Step 2: Convert to fraction form
    24,770.61/37,092.47 = 13,664.96/x
  3. Step 3: Cross multiply
    24,770.61x = 37,092.47 × 13,664.96
  4. Step 4: Simplify right side
    24,770.61x = 506,867,118.85
  5. Step 5: Solve for x
    x = 506,867,118.85/24,770.61
  6. Step 6: Final answer
    x = 20,462.44

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Why These Related Problems?

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