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Finding the Fourth Proportional to 20,132.64, 30,177.20 and 9,730.08

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Solution

The fourth proportional to 20,132.64, 30,177.20 and 9,730.08 is: 14,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.64 : 30,177.20 = 9,730.08 : x
  2. Step 2: Convert to fraction form
    20,132.64/30,177.20 = 9,730.08/x
  3. Step 3: Cross multiply
    20,132.64x = 30,177.20 × 9,730.08
  4. Step 4: Simplify right side
    20,132.64x = 293,626,570.18
  5. Step 5: Solve for x
    x = 293,626,570.18/20,132.64
  6. Step 6: Final answer
    x = 14,584.60

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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.