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Finding the Fourth Proportional to 24,581.47, 36,878.13 and 7,051.15

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Solution

The fourth proportional to 24,581.47, 36,878.13 and 7,051.15 is: 10,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.47 : 36,878.13 = 7,051.15 : x
  2. Step 2: Convert to fraction form
    24,581.47/36,878.13 = 7,051.15/x
  3. Step 3: Cross multiply
    24,581.47x = 36,878.13 × 7,051.15
  4. Step 4: Simplify right side
    24,581.47x = 260,033,006.70
  5. Step 5: Solve for x
    x = 260,033,006.70/24,581.47
  6. Step 6: Final answer
    x = 10,578.42

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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.