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Finding the Fourth Proportional to 12,514.60, 18,765.84 and 5,116.12

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Solution

The fourth proportional to 12,514.60, 18,765.84 and 5,116.12 is: 7,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.60 : 18,765.84 = 5,116.12 : x
  2. Step 2: Convert to fraction form
    12,514.60/18,765.84 = 5,116.12/x
  3. Step 3: Cross multiply
    12,514.60x = 18,765.84 × 5,116.12
  4. Step 4: Simplify right side
    12,514.60x = 96,008,289.34
  5. Step 5: Solve for x
    x = 96,008,289.34/12,514.60
  6. Step 6: Final answer
    x = 7,671.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.