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Finding the Fourth Proportional to 26,305.88, 39,449.10 and 10,715

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Solution

The fourth proportional to 26,305.88, 39,449.10 and 10,715 is: 16,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305.88 : 39,449.10 = 10,715 : x
  2. Step 2: Convert to fraction form
    26,305.88/39,449.10 = 10,715/x
  3. Step 3: Cross multiply
    26,305.88x = 39,449.10 × 10,715
  4. Step 4: Simplify right side
    26,305.88x = 422,697,106.50
  5. Step 5: Solve for x
    x = 422,697,106.50/26,305.88
  6. Step 6: Final answer
    x = 16,068.54

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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.