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Finding the Fourth Proportional to 10,829.57, 16,250.83 and 9,948.29

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Solution

The fourth proportional to 10,829.57, 16,250.83 and 9,948.29 is: 14,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.57 : 16,250.83 = 9,948.29 : x
  2. Step 2: Convert to fraction form
    10,829.57/16,250.83 = 9,948.29/x
  3. Step 3: Cross multiply
    10,829.57x = 16,250.83 × 9,948.29
  4. Step 4: Simplify right side
    10,829.57x = 161,667,863.46
  5. Step 5: Solve for x
    x = 161,667,863.46/10,829.57
  6. Step 6: Final answer
    x = 14,928.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.