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Finding the Fourth Proportional to 12,348.31, 18,454.50 and 9,023.48

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Solution

The fourth proportional to 12,348.31, 18,454.50 and 9,023.48 is: 13,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.31 : 18,454.50 = 9,023.48 : x
  2. Step 2: Convert to fraction form
    12,348.31/18,454.50 = 9,023.48/x
  3. Step 3: Cross multiply
    12,348.31x = 18,454.50 × 9,023.48
  4. Step 4: Simplify right side
    12,348.31x = 166,523,811.66
  5. Step 5: Solve for x
    x = 166,523,811.66/12,348.31
  6. Step 6: Final answer
    x = 13,485.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.