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Finding the Fourth Proportional to 13,229.76, 18,261.56 and 9,259.16

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Solution

The fourth proportional to 13,229.76, 18,261.56 and 9,259.16 is: 12,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.76 : 18,261.56 = 9,259.16 : x
  2. Step 2: Convert to fraction form
    13,229.76/18,261.56 = 9,259.16/x
  3. Step 3: Cross multiply
    13,229.76x = 18,261.56 × 9,259.16
  4. Step 4: Simplify right side
    13,229.76x = 169,086,705.89
  5. Step 5: Solve for x
    x = 169,086,705.89/13,229.76
  6. Step 6: Final answer
    x = 12,780.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.