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Finding the Fourth Proportional to 26,656.38, 39,955.86 and 13,509.78

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Solution

The fourth proportional to 26,656.38, 39,955.86 and 13,509.78 is: 20,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,656.38 : 39,955.86 = 13,509.78 : x
  2. Step 2: Convert to fraction form
    26,656.38/39,955.86 = 13,509.78/x
  3. Step 3: Cross multiply
    26,656.38x = 39,955.86 × 13,509.78
  4. Step 4: Simplify right side
    26,656.38x = 539,794,878.31
  5. Step 5: Solve for x
    x = 539,794,878.31/26,656.38
  6. Step 6: Final answer
    x = 20,250.12

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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.