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Finding the Fourth Proportional to 24,840, 37,207.68 and 15,484.56

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Solution

The fourth proportional to 24,840, 37,207.68 and 15,484.56 is: 23,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840 : 37,207.68 = 15,484.56 : x
  2. Step 2: Convert to fraction form
    24,840/37,207.68 = 15,484.56/x
  3. Step 3: Cross multiply
    24,840x = 37,207.68 × 15,484.56
  4. Step 4: Simplify right side
    24,840x = 576,144,553.42
  5. Step 5: Solve for x
    x = 576,144,553.42/24,840
  6. Step 6: Final answer
    x = 23,194.23

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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.