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Finding the Fourth Proportional to 12,575.92, 17,337.43 and 10,032.31

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Solution

The fourth proportional to 12,575.92, 17,337.43 and 10,032.31 is: 13,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.92 : 17,337.43 = 10,032.31 : x
  2. Step 2: Convert to fraction form
    12,575.92/17,337.43 = 10,032.31/x
  3. Step 3: Cross multiply
    12,575.92x = 17,337.43 × 10,032.31
  4. Step 4: Simplify right side
    12,575.92x = 173,934,378.86
  5. Step 5: Solve for x
    x = 173,934,378.86/12,575.92
  6. Step 6: Final answer
    x = 13,830.75

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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.