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Finding the Fourth Proportional to 20,685.32, 31,015 and 13,657.88

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Solution

The fourth proportional to 20,685.32, 31,015 and 13,657.88 is: 20,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.32 : 31,015 = 13,657.88 : x
  2. Step 2: Convert to fraction form
    20,685.32/31,015 = 13,657.88/x
  3. Step 3: Cross multiply
    20,685.32x = 31,015 × 13,657.88
  4. Step 4: Simplify right side
    20,685.32x = 423,599,148.20
  5. Step 5: Solve for x
    x = 423,599,148.20/20,685.32
  6. Step 6: Final answer
    x = 20,478.25

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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.