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Finding the Fourth Proportional to 26,501.93, 39,752.70 and 6,780.46

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Solution

The fourth proportional to 26,501.93, 39,752.70 and 6,780.46 is: 10,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.93 : 39,752.70 = 6,780.46 : x
  2. Step 2: Convert to fraction form
    26,501.93/39,752.70 = 6,780.46/x
  3. Step 3: Cross multiply
    26,501.93x = 39,752.70 × 6,780.46
  4. Step 4: Simplify right side
    26,501.93x = 269,541,467.43
  5. Step 5: Solve for x
    x = 269,541,467.43/26,501.93
  6. Step 6: Final answer
    x = 10,170.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.