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Finding the Fourth Proportional to 13,247.80, 19,853.02 and 10,462.20

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Solution

The fourth proportional to 13,247.80, 19,853.02 and 10,462.20 is: 15,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.80 : 19,853.02 = 10,462.20 : x
  2. Step 2: Convert to fraction form
    13,247.80/19,853.02 = 10,462.20/x
  3. Step 3: Cross multiply
    13,247.80x = 19,853.02 × 10,462.20
  4. Step 4: Simplify right side
    13,247.80x = 207,706,265.84
  5. Step 5: Solve for x
    x = 207,706,265.84/13,247.80
  6. Step 6: Final answer
    x = 15,678.55

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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.