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Finding the Fourth Proportional to 13,006.34, 17,948.66 and 7,037.96

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Solution

The fourth proportional to 13,006.34, 17,948.66 and 7,037.96 is: 9,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.34 : 17,948.66 = 7,037.96 : x
  2. Step 2: Convert to fraction form
    13,006.34/17,948.66 = 7,037.96/x
  3. Step 3: Cross multiply
    13,006.34x = 17,948.66 × 7,037.96
  4. Step 4: Simplify right side
    13,006.34x = 126,321,826.20
  5. Step 5: Solve for x
    x = 126,321,826.20/13,006.34
  6. Step 6: Final answer
    x = 9,712.33

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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.