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Finding the Fourth Proportional to 26,583.66, 39,875.49 and 7,862.24

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Solution

The fourth proportional to 26,583.66, 39,875.49 and 7,862.24 is: 11,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.66 : 39,875.49 = 7,862.24 : x
  2. Step 2: Convert to fraction form
    26,583.66/39,875.49 = 7,862.24/x
  3. Step 3: Cross multiply
    26,583.66x = 39,875.49 × 7,862.24
  4. Step 4: Simplify right side
    26,583.66x = 313,510,672.50
  5. Step 5: Solve for x
    x = 313,510,672.50/26,583.66
  6. Step 6: Final answer
    x = 11,793.36

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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.