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Finding the Fourth Proportional to 17,438.69, 26,157.94 and 6,345.34

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Solution

The fourth proportional to 17,438.69, 26,157.94 and 6,345.34 is: 9,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.69 : 26,157.94 = 6,345.34 : x
  2. Step 2: Convert to fraction form
    17,438.69/26,157.94 = 6,345.34/x
  3. Step 3: Cross multiply
    17,438.69x = 26,157.94 × 6,345.34
  4. Step 4: Simplify right side
    17,438.69x = 165,980,941.74
  5. Step 5: Solve for x
    x = 165,980,941.74/17,438.69
  6. Step 6: Final answer
    x = 9,517.97

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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.