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Finding the Fourth Proportional to 26,244, 39,373.68 and 7,776.48

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Solution

The fourth proportional to 26,244, 39,373.68 and 7,776.48 is: 11,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,244 : 39,373.68 = 7,776.48 : x
  2. Step 2: Convert to fraction form
    26,244/39,373.68 = 7,776.48/x
  3. Step 3: Cross multiply
    26,244x = 39,373.68 × 7,776.48
  4. Step 4: Simplify right side
    26,244x = 306,188,635.05
  5. Step 5: Solve for x
    x = 306,188,635.05/26,244
  6. Step 6: Final answer
    x = 11,667.00

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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.