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Finding the Fourth Proportional to 20,565.90, 30,836.70 and 10,724.40

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Solution

The fourth proportional to 20,565.90, 30,836.70 and 10,724.40 is: 16,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.90 : 30,836.70 = 10,724.40 : x
  2. Step 2: Convert to fraction form
    20,565.90/30,836.70 = 10,724.40/x
  3. Step 3: Cross multiply
    20,565.90x = 30,836.70 × 10,724.40
  4. Step 4: Simplify right side
    20,565.90x = 330,705,105.48
  5. Step 5: Solve for x
    x = 330,705,105.48/20,565.90
  6. Step 6: Final answer
    x = 16,080.26

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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.