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Finding the Fourth Proportional to 11,862.40, 17,770.20 and 6,023.20

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Solution

The fourth proportional to 11,862.40, 17,770.20 and 6,023.20 is: 9,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.40 : 17,770.20 = 6,023.20 : x
  2. Step 2: Convert to fraction form
    11,862.40/17,770.20 = 6,023.20/x
  3. Step 3: Cross multiply
    11,862.40x = 17,770.20 × 6,023.20
  4. Step 4: Simplify right side
    11,862.40x = 107,033,468.64
  5. Step 5: Solve for x
    x = 107,033,468.64/11,862.40
  6. Step 6: Final answer
    x = 9,022.92

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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.