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Finding the Fourth Proportional to 24,154.38, 36,229.14 and 7,515

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Solution

The fourth proportional to 24,154.38, 36,229.14 and 7,515 is: 11,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.38 : 36,229.14 = 7,515 : x
  2. Step 2: Convert to fraction form
    24,154.38/36,229.14 = 7,515/x
  3. Step 3: Cross multiply
    24,154.38x = 36,229.14 × 7,515
  4. Step 4: Simplify right side
    24,154.38x = 272,261,987.10
  5. Step 5: Solve for x
    x = 272,261,987.10/24,154.38
  6. Step 6: Final answer
    x = 11,271.74

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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.