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Finding the Fourth Proportional to 10,829.70, 16,244.55 and 9,663.30

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Solution

The fourth proportional to 10,829.70, 16,244.55 and 9,663.30 is: 14,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.70 : 16,244.55 = 9,663.30 : x
  2. Step 2: Convert to fraction form
    10,829.70/16,244.55 = 9,663.30/x
  3. Step 3: Cross multiply
    10,829.70x = 16,244.55 × 9,663.30
  4. Step 4: Simplify right side
    10,829.70x = 156,975,960.02
  5. Step 5: Solve for x
    x = 156,975,960.02/10,829.70
  6. Step 6: Final answer
    x = 14,494.95

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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.