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Finding the Fourth Proportional to 10,401.85, 15,589.37 and 9,062.24

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Solution

The fourth proportional to 10,401.85, 15,589.37 and 9,062.24 is: 13,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.85 : 15,589.37 = 9,062.24 : x
  2. Step 2: Convert to fraction form
    10,401.85/15,589.37 = 9,062.24/x
  3. Step 3: Cross multiply
    10,401.85x = 15,589.37 × 9,062.24
  4. Step 4: Simplify right side
    10,401.85x = 141,274,557.10
  5. Step 5: Solve for x
    x = 141,274,557.10/10,401.85
  6. Step 6: Final answer
    x = 13,581.67

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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.