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Finding the Fourth Proportional to 13,398.91, 20,098.53 and 9,237.80

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Solution

The fourth proportional to 13,398.91, 20,098.53 and 9,237.80 is: 13,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.91 : 20,098.53 = 9,237.80 : x
  2. Step 2: Convert to fraction form
    13,398.91/20,098.53 = 9,237.80/x
  3. Step 3: Cross multiply
    13,398.91x = 20,098.53 × 9,237.80
  4. Step 4: Simplify right side
    13,398.91x = 185,666,200.43
  5. Step 5: Solve for x
    x = 185,666,200.43/13,398.91
  6. Step 6: Final answer
    x = 13,856.81

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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.