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Finding the Fourth Proportional to 14,522.40, 20,041.14 and 8,234.78

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Solution

The fourth proportional to 14,522.40, 20,041.14 and 8,234.78 is: 11,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.40 : 20,041.14 = 8,234.78 : x
  2. Step 2: Convert to fraction form
    14,522.40/20,041.14 = 8,234.78/x
  3. Step 3: Cross multiply
    14,522.40x = 20,041.14 × 8,234.78
  4. Step 4: Simplify right side
    14,522.40x = 165,034,378.85
  5. Step 5: Solve for x
    x = 165,034,378.85/14,522.40
  6. Step 6: Final answer
    x = 11,364.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.