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Finding the Fourth Proportional to 26,302.80, 39,442.92 and 9,657.36

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Solution

The fourth proportional to 26,302.80, 39,442.92 and 9,657.36 is: 14,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302.80 : 39,442.92 = 9,657.36 : x
  2. Step 2: Convert to fraction form
    26,302.80/39,442.92 = 9,657.36/x
  3. Step 3: Cross multiply
    26,302.80x = 39,442.92 × 9,657.36
  4. Step 4: Simplify right side
    26,302.80x = 380,914,477.89
  5. Step 5: Solve for x
    x = 380,914,477.89/26,302.80
  6. Step 6: Final answer
    x = 14,481.90

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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.