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Finding the Fourth Proportional to 12,976.48, 17,911.92 and 9,002.86

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Solution

The fourth proportional to 12,976.48, 17,911.92 and 9,002.86 is: 12,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.48 : 17,911.92 = 9,002.86 : x
  2. Step 2: Convert to fraction form
    12,976.48/17,911.92 = 9,002.86/x
  3. Step 3: Cross multiply
    12,976.48x = 17,911.92 × 9,002.86
  4. Step 4: Simplify right side
    12,976.48x = 161,258,508.09
  5. Step 5: Solve for x
    x = 161,258,508.09/12,976.48
  6. Step 6: Final answer
    x = 12,426.98

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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.