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Finding the Fourth Proportional to 13,532.81, 20,298.74 and 6,132.09

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Solution

The fourth proportional to 13,532.81, 20,298.74 and 6,132.09 is: 9,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.81 : 20,298.74 = 6,132.09 : x
  2. Step 2: Convert to fraction form
    13,532.81/20,298.74 = 6,132.09/x
  3. Step 3: Cross multiply
    13,532.81x = 20,298.74 × 6,132.09
  4. Step 4: Simplify right side
    13,532.81x = 124,473,593.79
  5. Step 5: Solve for x
    x = 124,473,593.79/13,532.81
  6. Step 6: Final answer
    x = 9,197.91

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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.