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Finding the Fourth Proportional to 13,008.85, 19,514.18 and 5,217.66

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Solution

The fourth proportional to 13,008.85, 19,514.18 and 5,217.66 is: 7,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.85 : 19,514.18 = 5,217.66 : x
  2. Step 2: Convert to fraction form
    13,008.85/19,514.18 = 5,217.66/x
  3. Step 3: Cross multiply
    13,008.85x = 19,514.18 × 5,217.66
  4. Step 4: Simplify right side
    13,008.85x = 101,818,330.33
  5. Step 5: Solve for x
    x = 101,818,330.33/13,008.85
  6. Step 6: Final answer
    x = 7,826.85

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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.