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Finding the Fourth Proportional to 12,874.12, 19,309.65 and 3,514.90

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Solution

The fourth proportional to 12,874.12, 19,309.65 and 3,514.90 is: 5,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.12 : 19,309.65 = 3,514.90 : x
  2. Step 2: Convert to fraction form
    12,874.12/19,309.65 = 3,514.90/x
  3. Step 3: Cross multiply
    12,874.12x = 19,309.65 × 3,514.90
  4. Step 4: Simplify right side
    12,874.12x = 67,871,488.79
  5. Step 5: Solve for x
    x = 67,871,488.79/12,874.12
  6. Step 6: Final answer
    x = 5,271.93

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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.