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Finding the Fourth Proportional to 13,006.37, 17,948.65 and 7,037.90

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Solution

The fourth proportional to 13,006.37, 17,948.65 and 7,037.90 is: 9,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.37 : 17,948.65 = 7,037.90 : x
  2. Step 2: Convert to fraction form
    13,006.37/17,948.65 = 7,037.90/x
  3. Step 3: Cross multiply
    13,006.37x = 17,948.65 × 7,037.90
  4. Step 4: Simplify right side
    13,006.37x = 126,320,768.65
  5. Step 5: Solve for x
    x = 126,320,768.65/13,006.37
  6. Step 6: Final answer
    x = 9,712.23

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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.