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Finding the Fourth Proportional to 20,432.64, 30,646.65 and 5,643.66

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Solution

The fourth proportional to 20,432.64, 30,646.65 and 5,643.66 is: 8,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432.64 : 30,646.65 = 5,643.66 : x
  2. Step 2: Convert to fraction form
    20,432.64/30,646.65 = 5,643.66/x
  3. Step 3: Cross multiply
    20,432.64x = 30,646.65 × 5,643.66
  4. Step 4: Simplify right side
    20,432.64x = 172,959,272.74
  5. Step 5: Solve for x
    x = 172,959,272.74/20,432.64
  6. Step 6: Final answer
    x = 8,464.85

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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.