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Finding the Fourth Proportional to 14,781.60, 20,400.66 and 8,493.84

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Solution

The fourth proportional to 14,781.60, 20,400.66 and 8,493.84 is: 11,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.60 : 20,400.66 = 8,493.84 : x
  2. Step 2: Convert to fraction form
    14,781.60/20,400.66 = 8,493.84/x
  3. Step 3: Cross multiply
    14,781.60x = 20,400.66 × 8,493.84
  4. Step 4: Simplify right side
    14,781.60x = 173,279,941.93
  5. Step 5: Solve for x
    x = 173,279,941.93/14,781.60
  6. Step 6: Final answer
    x = 11,722.68

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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.