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Finding the Fourth Proportional to 26,017.50, 39,024.87 and 7,298.84

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Solution

The fourth proportional to 26,017.50, 39,024.87 and 7,298.84 is: 10,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,017.50 : 39,024.87 = 7,298.84 : x
  2. Step 2: Convert to fraction form
    26,017.50/39,024.87 = 7,298.84/x
  3. Step 3: Cross multiply
    26,017.50x = 39,024.87 × 7,298.84
  4. Step 4: Simplify right side
    26,017.50x = 284,836,087.03
  5. Step 5: Solve for x
    x = 284,836,087.03/26,017.50
  6. Step 6: Final answer
    x = 10,947.87

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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.