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Finding the Fourth Proportional to 26,500.69, 39,750.47 and 7,780.31

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Solution

The fourth proportional to 26,500.69, 39,750.47 and 7,780.31 is: 11,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.69 : 39,750.47 = 7,780.31 : x
  2. Step 2: Convert to fraction form
    26,500.69/39,750.47 = 7,780.31/x
  3. Step 3: Cross multiply
    26,500.69x = 39,750.47 × 7,780.31
  4. Step 4: Simplify right side
    26,500.69x = 309,270,919.83
  5. Step 5: Solve for x
    x = 309,270,919.83/26,500.69
  6. Step 6: Final answer
    x = 11,670.30

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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.