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Finding the Fourth Proportional to 28,142.48, 42,198.12 and 11,514.18

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Solution

The fourth proportional to 28,142.48, 42,198.12 and 11,514.18 is: 17,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.48 : 42,198.12 = 11,514.18 : x
  2. Step 2: Convert to fraction form
    28,142.48/42,198.12 = 11,514.18/x
  3. Step 3: Cross multiply
    28,142.48x = 42,198.12 × 11,514.18
  4. Step 4: Simplify right side
    28,142.48x = 485,876,749.34
  5. Step 5: Solve for x
    x = 485,876,749.34/28,142.48
  6. Step 6: Final answer
    x = 17,264.89

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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.