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Finding the Fourth Proportional to 18,442.20, 27,656.90 and 11,411.46

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Solution

The fourth proportional to 18,442.20, 27,656.90 and 11,411.46 is: 17,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.20 : 27,656.90 = 11,411.46 : x
  2. Step 2: Convert to fraction form
    18,442.20/27,656.90 = 11,411.46/x
  3. Step 3: Cross multiply
    18,442.20x = 27,656.90 × 11,411.46
  4. Step 4: Simplify right side
    18,442.20x = 315,605,551.02
  5. Step 5: Solve for x
    x = 315,605,551.02/18,442.20
  6. Step 6: Final answer
    x = 17,113.23

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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.