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Finding the Fourth Proportional to 13,231.71, 18,258.48 and 7,566.57

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Solution

The fourth proportional to 13,231.71, 18,258.48 and 7,566.57 is: 10,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.71 : 18,258.48 = 7,566.57 : x
  2. Step 2: Convert to fraction form
    13,231.71/18,258.48 = 7,566.57/x
  3. Step 3: Cross multiply
    13,231.71x = 18,258.48 × 7,566.57
  4. Step 4: Simplify right side
    13,231.71x = 138,154,067.01
  5. Step 5: Solve for x
    x = 138,154,067.01/13,231.71
  6. Step 6: Final answer
    x = 10,441.13

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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.