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Finding the Fourth Proportional to 26,478.90, 39,728.75 and 11,677.50

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Solution

The fourth proportional to 26,478.90, 39,728.75 and 11,677.50 is: 17,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.90 : 39,728.75 = 11,677.50 : x
  2. Step 2: Convert to fraction form
    26,478.90/39,728.75 = 11,677.50/x
  3. Step 3: Cross multiply
    26,478.90x = 39,728.75 × 11,677.50
  4. Step 4: Simplify right side
    26,478.90x = 463,932,419.74
  5. Step 5: Solve for x
    x = 463,932,419.74/26,478.90
  6. Step 6: Final answer
    x = 17,520.83

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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.