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Finding the Fourth Proportional to 16,401.10, 24,613.47 and 6,534.67

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Solution

The fourth proportional to 16,401.10, 24,613.47 and 6,534.67 is: 9,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.10 : 24,613.47 = 6,534.67 : x
  2. Step 2: Convert to fraction form
    16,401.10/24,613.47 = 6,534.67/x
  3. Step 3: Cross multiply
    16,401.10x = 24,613.47 × 6,534.67
  4. Step 4: Simplify right side
    16,401.10x = 160,840,904.00
  5. Step 5: Solve for x
    x = 160,840,904.00/16,401.10
  6. Step 6: Final answer
    x = 9,806.71

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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.