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Finding the Fourth Proportional to 23,431.52, 32,335.49 and 12,821.15

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Solution

The fourth proportional to 23,431.52, 32,335.49 and 12,821.15 is: 17,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.52 : 32,335.49 = 12,821.15 : x
  2. Step 2: Convert to fraction form
    23,431.52/32,335.49 = 12,821.15/x
  3. Step 3: Cross multiply
    23,431.52x = 32,335.49 × 12,821.15
  4. Step 4: Simplify right side
    23,431.52x = 414,578,167.61
  5. Step 5: Solve for x
    x = 414,578,167.61/23,431.52
  6. Step 6: Final answer
    x = 17,693.18

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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.