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Finding the Fourth Proportional to 23,789.40, 32,818.68 and 17,821.32

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Solution

The fourth proportional to 23,789.40, 32,818.68 and 17,821.32 is: 24,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.40 : 32,818.68 = 17,821.32 : x
  2. Step 2: Convert to fraction form
    23,789.40/32,818.68 = 17,821.32/x
  3. Step 3: Cross multiply
    23,789.40x = 32,818.68 × 17,821.32
  4. Step 4: Simplify right side
    23,789.40x = 584,872,198.26
  5. Step 5: Solve for x
    x = 584,872,198.26/23,789.40
  6. Step 6: Final answer
    x = 24,585.41

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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.