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Finding the Fourth Proportional to 13,089.85, 18,061.54 and 7,785.97

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Solution

The fourth proportional to 13,089.85, 18,061.54 and 7,785.97 is: 10,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.85 : 18,061.54 = 7,785.97 : x
  2. Step 2: Convert to fraction form
    13,089.85/18,061.54 = 7,785.97/x
  3. Step 3: Cross multiply
    13,089.85x = 18,061.54 × 7,785.97
  4. Step 4: Simplify right side
    13,089.85x = 140,626,608.59
  5. Step 5: Solve for x
    x = 140,626,608.59/13,089.85
  6. Step 6: Final answer
    x = 10,743.18

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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.