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Finding the Fourth Proportional to 32,021.64, 44,187.72 and 17,680.86

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Solution

The fourth proportional to 32,021.64, 44,187.72 and 17,680.86 is: 24,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.64 : 44,187.72 = 17,680.86 : x
  2. Step 2: Convert to fraction form
    32,021.64/44,187.72 = 17,680.86/x
  3. Step 3: Cross multiply
    32,021.64x = 44,187.72 × 17,680.86
  4. Step 4: Simplify right side
    32,021.64x = 781,276,891.04
  5. Step 5: Solve for x
    x = 781,276,891.04/32,021.64
  6. Step 6: Final answer
    x = 24,398.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.