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Finding the Fourth Proportional to 24,292.50, 36,356.44 and 14,938.44

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Solution

The fourth proportional to 24,292.50, 36,356.44 and 14,938.44 is: 22,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.50 : 36,356.44 = 14,938.44 : x
  2. Step 2: Convert to fraction form
    24,292.50/36,356.44 = 14,938.44/x
  3. Step 3: Cross multiply
    24,292.50x = 36,356.44 × 14,938.44
  4. Step 4: Simplify right side
    24,292.50x = 543,108,497.55
  5. Step 5: Solve for x
    x = 543,108,497.55/24,292.50
  6. Step 6: Final answer
    x = 22,357.04

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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.