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Finding the Fourth Proportional to 24,731.49, 37,102.77 and 7,865.48

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Solution

The fourth proportional to 24,731.49, 37,102.77 and 7,865.48 is: 11,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.49 : 37,102.77 = 7,865.48 : x
  2. Step 2: Convert to fraction form
    24,731.49/37,102.77 = 7,865.48/x
  3. Step 3: Cross multiply
    24,731.49x = 37,102.77 × 7,865.48
  4. Step 4: Simplify right side
    24,731.49x = 291,830,909.87
  5. Step 5: Solve for x
    x = 291,830,909.87/24,731.49
  6. Step 6: Final answer
    x = 11,799.97

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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.