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Finding the Fourth Proportional to 26,759.34, 36,929.52 and 14,824.26

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Solution

The fourth proportional to 26,759.34, 36,929.52 and 14,824.26 is: 20,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,759.34 : 36,929.52 = 14,824.26 : x
  2. Step 2: Convert to fraction form
    26,759.34/36,929.52 = 14,824.26/x
  3. Step 3: Cross multiply
    26,759.34x = 36,929.52 × 14,824.26
  4. Step 4: Simplify right side
    26,759.34x = 547,452,806.16
  5. Step 5: Solve for x
    x = 547,452,806.16/26,759.34
  6. Step 6: Final answer
    x = 20,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.