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Finding the Fourth Proportional to 24,711.53, 37,073.15 and 8,071.53

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Solution

The fourth proportional to 24,711.53, 37,073.15 and 8,071.53 is: 12,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.53 : 37,073.15 = 8,071.53 : x
  2. Step 2: Convert to fraction form
    24,711.53/37,073.15 = 8,071.53/x
  3. Step 3: Cross multiply
    24,711.53x = 37,073.15 × 8,071.53
  4. Step 4: Simplify right side
    24,711.53x = 299,236,893.31
  5. Step 5: Solve for x
    x = 299,236,893.31/24,711.53
  6. Step 6: Final answer
    x = 12,109.20

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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.