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Finding the Fourth Proportional to 23,452.64, 32,363.16 and 12,842.40

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Solution

The fourth proportional to 23,452.64, 32,363.16 and 12,842.40 is: 17,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.64 : 32,363.16 = 12,842.40 : x
  2. Step 2: Convert to fraction form
    23,452.64/32,363.16 = 12,842.40/x
  3. Step 3: Cross multiply
    23,452.64x = 32,363.16 × 12,842.40
  4. Step 4: Simplify right side
    23,452.64x = 415,620,645.98
  5. Step 5: Solve for x
    x = 415,620,645.98/23,452.64
  6. Step 6: Final answer
    x = 17,721.70

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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.