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Finding the Fourth Proportional to 26,586.48, 39,881.64 and 6,865.20

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Solution

The fourth proportional to 26,586.48, 39,881.64 and 6,865.20 is: 10,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586.48 : 39,881.64 = 6,865.20 : x
  2. Step 2: Convert to fraction form
    26,586.48/39,881.64 = 6,865.20/x
  3. Step 3: Cross multiply
    26,586.48x = 39,881.64 × 6,865.20
  4. Step 4: Simplify right side
    26,586.48x = 273,795,434.93
  5. Step 5: Solve for x
    x = 273,795,434.93/26,586.48
  6. Step 6: Final answer
    x = 10,298.30

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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.