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Finding the Fourth Proportional to 26,435.19, 39,652.78 and 7,967.19

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Solution

The fourth proportional to 26,435.19, 39,652.78 and 7,967.19 is: 11,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,435.19 : 39,652.78 = 7,967.19 : x
  2. Step 2: Convert to fraction form
    26,435.19/39,652.78 = 7,967.19/x
  3. Step 3: Cross multiply
    26,435.19x = 39,652.78 × 7,967.19
  4. Step 4: Simplify right side
    26,435.19x = 315,921,232.29
  5. Step 5: Solve for x
    x = 315,921,232.29/26,435.19
  6. Step 6: Final answer
    x = 11,950.78

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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.