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Finding the Fourth Proportional to 13,456.93, 20,189.71 and 4,098.76

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Solution

The fourth proportional to 13,456.93, 20,189.71 and 4,098.76 is: 6,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.93 : 20,189.71 = 4,098.76 : x
  2. Step 2: Convert to fraction form
    13,456.93/20,189.71 = 4,098.76/x
  3. Step 3: Cross multiply
    13,456.93x = 20,189.71 × 4,098.76
  4. Step 4: Simplify right side
    13,456.93x = 82,752,741.94
  5. Step 5: Solve for x
    x = 82,752,741.94/13,456.93
  6. Step 6: Final answer
    x = 6,149.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.