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Finding the Fourth Proportional to 26,410.70, 39,617.28 and 9,767.63

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Solution

The fourth proportional to 26,410.70, 39,617.28 and 9,767.63 is: 14,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410.70 : 39,617.28 = 9,767.63 : x
  2. Step 2: Convert to fraction form
    26,410.70/39,617.28 = 9,767.63/x
  3. Step 3: Cross multiply
    26,410.70x = 39,617.28 × 9,767.63
  4. Step 4: Simplify right side
    26,410.70x = 386,967,031.69
  5. Step 5: Solve for x
    x = 386,967,031.69/26,410.70
  6. Step 6: Final answer
    x = 14,651.90

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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.