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Finding the Fourth Proportional to 24,432, 33,702.72 and 17,368.96

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Solution

The fourth proportional to 24,432, 33,702.72 and 17,368.96 is: 23,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432 : 33,702.72 = 17,368.96 : x
  2. Step 2: Convert to fraction form
    24,432/33,702.72 = 17,368.96/x
  3. Step 3: Cross multiply
    24,432x = 33,702.72 × 17,368.96
  4. Step 4: Simplify right side
    24,432x = 585,381,195.57
  5. Step 5: Solve for x
    x = 585,381,195.57/24,432
  6. Step 6: Final answer
    x = 23,959.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.