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Finding the Fourth Proportional to 20,724.60, 31,094.10 and 9,041.40

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Solution

The fourth proportional to 20,724.60, 31,094.10 and 9,041.40 is: 13,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724.60 : 31,094.10 = 9,041.40 : x
  2. Step 2: Convert to fraction form
    20,724.60/31,094.10 = 9,041.40/x
  3. Step 3: Cross multiply
    20,724.60x = 31,094.10 × 9,041.40
  4. Step 4: Simplify right side
    20,724.60x = 281,134,195.74
  5. Step 5: Solve for x
    x = 281,134,195.74/20,724.60
  6. Step 6: Final answer
    x = 13,565.24

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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.