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Finding the Fourth Proportional to 24,363.10, 36,530.68 and 7,491.72

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Solution

The fourth proportional to 24,363.10, 36,530.68 and 7,491.72 is: 11,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.10 : 36,530.68 = 7,491.72 : x
  2. Step 2: Convert to fraction form
    24,363.10/36,530.68 = 7,491.72/x
  3. Step 3: Cross multiply
    24,363.10x = 36,530.68 × 7,491.72
  4. Step 4: Simplify right side
    24,363.10x = 273,677,625.97
  5. Step 5: Solve for x
    x = 273,677,625.97/24,363.10
  6. Step 6: Final answer
    x = 11,233.28

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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.