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Finding the Fourth Proportional to 26,476.26, 39,704.32 and 7,752.30

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Solution

The fourth proportional to 26,476.26, 39,704.32 and 7,752.30 is: 11,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476.26 : 39,704.32 = 7,752.30 : x
  2. Step 2: Convert to fraction form
    26,476.26/39,704.32 = 7,752.30/x
  3. Step 3: Cross multiply
    26,476.26x = 39,704.32 × 7,752.30
  4. Step 4: Simplify right side
    26,476.26x = 307,799,799.94
  5. Step 5: Solve for x
    x = 307,799,799.94/26,476.26
  6. Step 6: Final answer
    x = 11,625.50

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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.