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Finding the Fourth Proportional to 14,668.50, 20,242.56 and 8,380.86

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Solution

The fourth proportional to 14,668.50, 20,242.56 and 8,380.86 is: 11,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.50 : 20,242.56 = 8,380.86 : x
  2. Step 2: Convert to fraction form
    14,668.50/20,242.56 = 8,380.86/x
  3. Step 3: Cross multiply
    14,668.50x = 20,242.56 × 8,380.86
  4. Step 4: Simplify right side
    14,668.50x = 169,650,061.40
  5. Step 5: Solve for x
    x = 169,650,061.40/14,668.50
  6. Step 6: Final answer
    x = 11,565.60

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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.