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Finding the Fourth Proportional to 20,565.64, 30,843.60 and 9,465.40

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Solution

The fourth proportional to 20,565.64, 30,843.60 and 9,465.40 is: 14,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.64 : 30,843.60 = 9,465.40 : x
  2. Step 2: Convert to fraction form
    20,565.64/30,843.60 = 9,465.40/x
  3. Step 3: Cross multiply
    20,565.64x = 30,843.60 × 9,465.40
  4. Step 4: Simplify right side
    20,565.64x = 291,947,011.44
  5. Step 5: Solve for x
    x = 291,947,011.44/20,565.64
  6. Step 6: Final answer
    x = 14,195.86

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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.