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Finding the Fourth Proportional to 13,627.28, 20,448.80 and 5,729.17

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Solution

The fourth proportional to 13,627.28, 20,448.80 and 5,729.17 is: 8,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.28 : 20,448.80 = 5,729.17 : x
  2. Step 2: Convert to fraction form
    13,627.28/20,448.80 = 5,729.17/x
  3. Step 3: Cross multiply
    13,627.28x = 20,448.80 × 5,729.17
  4. Step 4: Simplify right side
    13,627.28x = 117,154,651.50
  5. Step 5: Solve for x
    x = 117,154,651.50/13,627.28
  6. Step 6: Final answer
    x = 8,597.07

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Why These Related Problems?

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