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Finding the Fourth Proportional to 24,297.57, 36,363.69 and 14,932.65

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Solution

The fourth proportional to 24,297.57, 36,363.69 and 14,932.65 is: 22,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297.57 : 36,363.69 = 14,932.65 : x
  2. Step 2: Convert to fraction form
    24,297.57/36,363.69 = 14,932.65/x
  3. Step 3: Cross multiply
    24,297.57x = 36,363.69 × 14,932.65
  4. Step 4: Simplify right side
    24,297.57x = 543,006,255.48
  5. Step 5: Solve for x
    x = 543,006,255.48/24,297.57
  6. Step 6: Final answer
    x = 22,348.17

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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.