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Finding the Fourth Proportional to 24,291.84, 36,414.72 and 10,432

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Solution

The fourth proportional to 24,291.84, 36,414.72 and 10,432 is: 15,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.84 : 36,414.72 = 10,432 : x
  2. Step 2: Convert to fraction form
    24,291.84/36,414.72 = 10,432/x
  3. Step 3: Cross multiply
    24,291.84x = 36,414.72 × 10,432
  4. Step 4: Simplify right side
    24,291.84x = 379,878,359.04
  5. Step 5: Solve for x
    x = 379,878,359.04/24,291.84
  6. Step 6: Final answer
    x = 15,638.11

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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.