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Finding the Fourth Proportional to 14,766.42, 20,377.53 and 8,478.84

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Solution

The fourth proportional to 14,766.42, 20,377.53 and 8,478.84 is: 11,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.42 : 20,377.53 = 8,478.84 : x
  2. Step 2: Convert to fraction form
    14,766.42/20,377.53 = 8,478.84/x
  3. Step 3: Cross multiply
    14,766.42x = 20,377.53 × 8,478.84
  4. Step 4: Simplify right side
    14,766.42x = 172,777,816.47
  5. Step 5: Solve for x
    x = 172,777,816.47/14,766.42
  6. Step 6: Final answer
    x = 11,700.72

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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.