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Finding the Fourth Proportional to 23,920.16, 35,874.15 and 9,124.70

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Solution

The fourth proportional to 23,920.16, 35,874.15 and 9,124.70 is: 13,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.16 : 35,874.15 = 9,124.70 : x
  2. Step 2: Convert to fraction form
    23,920.16/35,874.15 = 9,124.70/x
  3. Step 3: Cross multiply
    23,920.16x = 35,874.15 × 9,124.70
  4. Step 4: Simplify right side
    23,920.16x = 327,340,677.13
  5. Step 5: Solve for x
    x = 327,340,677.13/23,920.16
  6. Step 6: Final answer
    x = 13,684.72

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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.