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Finding the Fourth Proportional to 13,005.96, 17,948.23 and 7,037.61

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Solution

The fourth proportional to 13,005.96, 17,948.23 and 7,037.61 is: 9,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.96 : 17,948.23 = 7,037.61 : x
  2. Step 2: Convert to fraction form
    13,005.96/17,948.23 = 7,037.61/x
  3. Step 3: Cross multiply
    13,005.96x = 17,948.23 × 7,037.61
  4. Step 4: Simplify right side
    13,005.96x = 126,312,625.34
  5. Step 5: Solve for x
    x = 126,312,625.34/13,005.96
  6. Step 6: Final answer
    x = 9,711.90

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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.