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Finding the Fourth Proportional to 23,207.84, 32,023.44 and 13,269.92

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Solution

The fourth proportional to 23,207.84, 32,023.44 and 13,269.92 is: 18,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.84 : 32,023.44 = 13,269.92 : x
  2. Step 2: Convert to fraction form
    23,207.84/32,023.44 = 13,269.92/x
  3. Step 3: Cross multiply
    23,207.84x = 32,023.44 × 13,269.92
  4. Step 4: Simplify right side
    23,207.84x = 424,948,486.92
  5. Step 5: Solve for x
    x = 424,948,486.92/23,207.84
  6. Step 6: Final answer
    x = 18,310.56

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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.