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Finding the Fourth Proportional to 13,442.97, 20,154.86 and 6,323.23

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Solution

The fourth proportional to 13,442.97, 20,154.86 and 6,323.23 is: 9,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.97 : 20,154.86 = 6,323.23 : x
  2. Step 2: Convert to fraction form
    13,442.97/20,154.86 = 6,323.23/x
  3. Step 3: Cross multiply
    13,442.97x = 20,154.86 × 6,323.23
  4. Step 4: Simplify right side
    13,442.97x = 127,443,757.11
  5. Step 5: Solve for x
    x = 127,443,757.11/13,442.97
  6. Step 6: Final answer
    x = 9,480.32

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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.