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Finding the Fourth Proportional to 13,227.76, 18,258.80 and 9,257.16

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Solution

The fourth proportional to 13,227.76, 18,258.80 and 9,257.16 is: 12,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.76 : 18,258.80 = 9,257.16 : x
  2. Step 2: Convert to fraction form
    13,227.76/18,258.80 = 9,257.16/x
  3. Step 3: Cross multiply
    13,227.76x = 18,258.80 × 9,257.16
  4. Step 4: Simplify right side
    13,227.76x = 169,024,633.01
  5. Step 5: Solve for x
    x = 169,024,633.01/13,227.76
  6. Step 6: Final answer
    x = 12,778.02

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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.