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Finding the Fourth Proportional to 12,514.82, 18,775.96 and 7,248.60

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Solution

The fourth proportional to 12,514.82, 18,775.96 and 7,248.60 is: 10,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.82 : 18,775.96 = 7,248.60 : x
  2. Step 2: Convert to fraction form
    12,514.82/18,775.96 = 7,248.60/x
  3. Step 3: Cross multiply
    12,514.82x = 18,775.96 × 7,248.60
  4. Step 4: Simplify right side
    12,514.82x = 136,099,423.66
  5. Step 5: Solve for x
    x = 136,099,423.66/12,514.82
  6. Step 6: Final answer
    x = 10,875.06

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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.