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Finding the Fourth Proportional to 13,660.76, 20,448.12 and 9,419.20

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Solution

The fourth proportional to 13,660.76, 20,448.12 and 9,419.20 is: 14,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.76 : 20,448.12 = 9,419.20 : x
  2. Step 2: Convert to fraction form
    13,660.76/20,448.12 = 9,419.20/x
  3. Step 3: Cross multiply
    13,660.76x = 20,448.12 × 9,419.20
  4. Step 4: Simplify right side
    13,660.76x = 192,604,931.90
  5. Step 5: Solve for x
    x = 192,604,931.90/13,660.76
  6. Step 6: Final answer
    x = 14,099.14

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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.