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Finding the Fourth Proportional to 20,902.60, 31,405.10 and 15,718.60

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Solution

The fourth proportional to 20,902.60, 31,405.10 and 15,718.60 is: 23,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.60 : 31,405.10 = 15,718.60 : x
  2. Step 2: Convert to fraction form
    20,902.60/31,405.10 = 15,718.60/x
  3. Step 3: Cross multiply
    20,902.60x = 31,405.10 × 15,718.60
  4. Step 4: Simplify right side
    20,902.60x = 493,644,204.86
  5. Step 5: Solve for x
    x = 493,644,204.86/20,902.60
  6. Step 6: Final answer
    x = 23,616.40

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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.