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Finding the Fourth Proportional to 26,214.12, 39,312 and 8,679.24

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Solution

The fourth proportional to 26,214.12, 39,312 and 8,679.24 is: 13,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,214.12 : 39,312 = 8,679.24 : x
  2. Step 2: Convert to fraction form
    26,214.12/39,312 = 8,679.24/x
  3. Step 3: Cross multiply
    26,214.12x = 39,312 × 8,679.24
  4. Step 4: Simplify right side
    26,214.12x = 341,198,282.88
  5. Step 5: Solve for x
    x = 341,198,282.88/26,214.12
  6. Step 6: Final answer
    x = 13,015.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.