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Finding the Fourth Proportional to 23,702.10, 35,553.15 and 8,117.70

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Solution

The fourth proportional to 23,702.10, 35,553.15 and 8,117.70 is: 12,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.10 : 35,553.15 = 8,117.70 : x
  2. Step 2: Convert to fraction form
    23,702.10/35,553.15 = 8,117.70/x
  3. Step 3: Cross multiply
    23,702.10x = 35,553.15 × 8,117.70
  4. Step 4: Simplify right side
    23,702.10x = 288,609,805.76
  5. Step 5: Solve for x
    x = 288,609,805.76/23,702.10
  6. Step 6: Final answer
    x = 12,176.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.