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Finding the Fourth Proportional to 12,801.92, 19,270.81 and 9,129.56

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Solution

The fourth proportional to 12,801.92, 19,270.81 and 9,129.56 is: 13,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.92 : 19,270.81 = 9,129.56 : x
  2. Step 2: Convert to fraction form
    12,801.92/19,270.81 = 9,129.56/x
  3. Step 3: Cross multiply
    12,801.92x = 19,270.81 × 9,129.56
  4. Step 4: Simplify right side
    12,801.92x = 175,933,931.20
  5. Step 5: Solve for x
    x = 175,933,931.20/12,801.92
  6. Step 6: Final answer
    x = 13,742.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.