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Finding the Fourth Proportional to 17,478.96, 26,216.40 and 5,166

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Solution

The fourth proportional to 17,478.96, 26,216.40 and 5,166 is: 7,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.96 : 26,216.40 = 5,166 : x
  2. Step 2: Convert to fraction form
    17,478.96/26,216.40 = 5,166/x
  3. Step 3: Cross multiply
    17,478.96x = 26,216.40 × 5,166
  4. Step 4: Simplify right side
    17,478.96x = 135,433,922.40
  5. Step 5: Solve for x
    x = 135,433,922.40/17,478.96
  6. Step 6: Final answer
    x = 7,748.40

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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.