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Finding the Fourth Proportional to 17,312.68, 25,971.52 and 5,462.42

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Solution

The fourth proportional to 17,312.68, 25,971.52 and 5,462.42 is: 8,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.68 : 25,971.52 = 5,462.42 : x
  2. Step 2: Convert to fraction form
    17,312.68/25,971.52 = 5,462.42/x
  3. Step 3: Cross multiply
    17,312.68x = 25,971.52 × 5,462.42
  4. Step 4: Simplify right side
    17,312.68x = 141,867,401.55
  5. Step 5: Solve for x
    x = 141,867,401.55/17,312.68
  6. Step 6: Final answer
    x = 8,194.42

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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.