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Finding the Fourth Proportional to 14,765.75, 20,377.14 and 8,478.53

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Solution

The fourth proportional to 14,765.75, 20,377.14 and 8,478.53 is: 11,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.75 : 20,377.14 = 8,478.53 : x
  2. Step 2: Convert to fraction form
    14,765.75/20,377.14 = 8,478.53/x
  3. Step 3: Cross multiply
    14,765.75x = 20,377.14 × 8,478.53
  4. Step 4: Simplify right side
    14,765.75x = 172,768,192.80
  5. Step 5: Solve for x
    x = 172,768,192.80/14,765.75
  6. Step 6: Final answer
    x = 11,700.60

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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.