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Finding the Fourth Proportional to 26,585.92, 39,886.67 and 7,866.46

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Solution

The fourth proportional to 26,585.92, 39,886.67 and 7,866.46 is: 11,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.92 : 39,886.67 = 7,866.46 : x
  2. Step 2: Convert to fraction form
    26,585.92/39,886.67 = 7,866.46/x
  3. Step 3: Cross multiply
    26,585.92x = 39,886.67 × 7,866.46
  4. Step 4: Simplify right side
    26,585.92x = 313,766,829.31
  5. Step 5: Solve for x
    x = 313,766,829.31/26,585.92
  6. Step 6: Final answer
    x = 11,801.99

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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.