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Finding the Fourth Proportional to 13,535.13, 18,679.07 and 7,566.80

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Solution

The fourth proportional to 13,535.13, 18,679.07 and 7,566.80 is: 10,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.13 : 18,679.07 = 7,566.80 : x
  2. Step 2: Convert to fraction form
    13,535.13/18,679.07 = 7,566.80/x
  3. Step 3: Cross multiply
    13,535.13x = 18,679.07 × 7,566.80
  4. Step 4: Simplify right side
    13,535.13x = 141,340,760.72
  5. Step 5: Solve for x
    x = 141,340,760.72/13,535.13
  6. Step 6: Final answer
    x = 10,442.51

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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.