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Finding the Fourth Proportional to 16,514.96, 24,775.03 and 5,419.13

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Solution

The fourth proportional to 16,514.96, 24,775.03 and 5,419.13 is: 8,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.96 : 24,775.03 = 5,419.13 : x
  2. Step 2: Convert to fraction form
    16,514.96/24,775.03 = 5,419.13/x
  3. Step 3: Cross multiply
    16,514.96x = 24,775.03 × 5,419.13
  4. Step 4: Simplify right side
    16,514.96x = 134,259,038.04
  5. Step 5: Solve for x
    x = 134,259,038.04/16,514.96
  6. Step 6: Final answer
    x = 8,129.54

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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.