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Finding the Fourth Proportional to 26,139.88, 39,200.10 and 8,605

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Solution

The fourth proportional to 26,139.88, 39,200.10 and 8,605 is: 12,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,139.88 : 39,200.10 = 8,605 : x
  2. Step 2: Convert to fraction form
    26,139.88/39,200.10 = 8,605/x
  3. Step 3: Cross multiply
    26,139.88x = 39,200.10 × 8,605
  4. Step 4: Simplify right side
    26,139.88x = 337,316,860.50
  5. Step 5: Solve for x
    x = 337,316,860.50/26,139.88
  6. Step 6: Final answer
    x = 12,904.30

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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.