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Finding the Fourth Proportional to 26,537.88, 39,806.82 and 6,816.90

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Solution

The fourth proportional to 26,537.88, 39,806.82 and 6,816.90 is: 10,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.88 : 39,806.82 = 6,816.90 : x
  2. Step 2: Convert to fraction form
    26,537.88/39,806.82 = 6,816.90/x
  3. Step 3: Cross multiply
    26,537.88x = 39,806.82 × 6,816.90
  4. Step 4: Simplify right side
    26,537.88x = 271,359,111.26
  5. Step 5: Solve for x
    x = 271,359,111.26/26,537.88
  6. Step 6: Final answer
    x = 10,225.35

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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.