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Finding the Fourth Proportional to 17,314, 25,973.26 and 6,221.92

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Solution

The fourth proportional to 17,314, 25,973.26 and 6,221.92 is: 9,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 25,973.26 = 6,221.92 : x
  2. Step 2: Convert to fraction form
    17,314/25,973.26 = 6,221.92/x
  3. Step 3: Cross multiply
    17,314x = 25,973.26 × 6,221.92
  4. Step 4: Simplify right side
    17,314x = 161,603,545.86
  5. Step 5: Solve for x
    x = 161,603,545.86/17,314
  6. Step 6: Final answer
    x = 9,333.69

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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.