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Finding the Fourth Proportional to 13,091.57, 18,065.82 and 7,123.24

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Solution

The fourth proportional to 13,091.57, 18,065.82 and 7,123.24 is: 9,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.57 : 18,065.82 = 7,123.24 : x
  2. Step 2: Convert to fraction form
    13,091.57/18,065.82 = 7,123.24/x
  3. Step 3: Cross multiply
    13,091.57x = 18,065.82 × 7,123.24
  4. Step 4: Simplify right side
    13,091.57x = 128,687,171.66
  5. Step 5: Solve for x
    x = 128,687,171.66/13,091.57
  6. Step 6: Final answer
    x = 9,829.77

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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.