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Finding the Fourth Proportional to 13,749.14, 20,613.24 and 7,514.48

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Solution

The fourth proportional to 13,749.14, 20,613.24 and 7,514.48 is: 11,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.14 : 20,613.24 = 7,514.48 : x
  2. Step 2: Convert to fraction form
    13,749.14/20,613.24 = 7,514.48/x
  3. Step 3: Cross multiply
    13,749.14x = 20,613.24 × 7,514.48
  4. Step 4: Simplify right side
    13,749.14x = 154,897,779.72
  5. Step 5: Solve for x
    x = 154,897,779.72/13,749.14
  6. Step 6: Final answer
    x = 11,266.00

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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.