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Finding the Fourth Proportional to 13,006.08, 17,948.32 and 7,037.62

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Solution

The fourth proportional to 13,006.08, 17,948.32 and 7,037.62 is: 9,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.08 : 17,948.32 = 7,037.62 : x
  2. Step 2: Convert to fraction form
    13,006.08/17,948.32 = 7,037.62/x
  3. Step 3: Cross multiply
    13,006.08x = 17,948.32 × 7,037.62
  4. Step 4: Simplify right side
    13,006.08x = 126,313,393.33
  5. Step 5: Solve for x
    x = 126,313,393.33/13,006.08
  6. Step 6: Final answer
    x = 9,711.87

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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.