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Finding the Fourth Proportional to 23,419.29, 32,318.39 and 12,809.13

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Solution

The fourth proportional to 23,419.29, 32,318.39 and 12,809.13 is: 17,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.29 : 32,318.39 = 12,809.13 : x
  2. Step 2: Convert to fraction form
    23,419.29/32,318.39 = 12,809.13/x
  3. Step 3: Cross multiply
    23,419.29x = 32,318.39 × 12,809.13
  4. Step 4: Simplify right side
    23,419.29x = 413,970,394.86
  5. Step 5: Solve for x
    x = 413,970,394.86/23,419.29
  6. Step 6: Final answer
    x = 17,676.47

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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.