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Finding the Fourth Proportional to 32,000.23, 44,160 and 17,660.17

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Solution

The fourth proportional to 32,000.23, 44,160 and 17,660.17 is: 24,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.23 : 44,160 = 17,660.17 : x
  2. Step 2: Convert to fraction form
    32,000.23/44,160 = 17,660.17/x
  3. Step 3: Cross multiply
    32,000.23x = 44,160 × 17,660.17
  4. Step 4: Simplify right side
    32,000.23x = 779,873,107.20
  5. Step 5: Solve for x
    x = 779,873,107.20/32,000.23
  6. Step 6: Final answer
    x = 24,370.86

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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.