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Finding the Fourth Proportional to 13,534.20, 20,291.70 and 6,142.20

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Solution

The fourth proportional to 13,534.20, 20,291.70 and 6,142.20 is: 9,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.20 : 20,291.70 = 6,142.20 : x
  2. Step 2: Convert to fraction form
    13,534.20/20,291.70 = 6,142.20/x
  3. Step 3: Cross multiply
    13,534.20x = 20,291.70 × 6,142.20
  4. Step 4: Simplify right side
    13,534.20x = 124,635,679.74
  5. Step 5: Solve for x
    x = 124,635,679.74/13,534.20
  6. Step 6: Final answer
    x = 9,208.94

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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.