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Finding the Fourth Proportional to 26,442.34, 39,638.01 and 9,797.86

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Solution

The fourth proportional to 26,442.34, 39,638.01 and 9,797.86 is: 14,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442.34 : 39,638.01 = 9,797.86 : x
  2. Step 2: Convert to fraction form
    26,442.34/39,638.01 = 9,797.86/x
  3. Step 3: Cross multiply
    26,442.34x = 39,638.01 × 9,797.86
  4. Step 4: Simplify right side
    26,442.34x = 388,367,672.66
  5. Step 5: Solve for x
    x = 388,367,672.66/26,442.34
  6. Step 6: Final answer
    x = 14,687.34

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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.