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Finding the Fourth Proportional to 10,401.10, 15,601.65 and 9,169.90

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Solution

The fourth proportional to 10,401.10, 15,601.65 and 9,169.90 is: 13,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.10 : 15,601.65 = 9,169.90 : x
  2. Step 2: Convert to fraction form
    10,401.10/15,601.65 = 9,169.90/x
  3. Step 3: Cross multiply
    10,401.10x = 15,601.65 × 9,169.90
  4. Step 4: Simplify right side
    10,401.10x = 143,065,570.34
  5. Step 5: Solve for x
    x = 143,065,570.34/10,401.10
  6. Step 6: Final answer
    x = 13,754.85

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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.