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Finding the Fourth Proportional to 17,438.96, 26,150.25 and 6,337.82

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Solution

The fourth proportional to 17,438.96, 26,150.25 and 6,337.82 is: 9,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.96 : 26,150.25 = 6,337.82 : x
  2. Step 2: Convert to fraction form
    17,438.96/26,150.25 = 6,337.82/x
  3. Step 3: Cross multiply
    17,438.96x = 26,150.25 × 6,337.82
  4. Step 4: Simplify right side
    17,438.96x = 165,735,577.46
  5. Step 5: Solve for x
    x = 165,735,577.46/17,438.96
  6. Step 6: Final answer
    x = 9,503.75

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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.