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Finding the Fourth Proportional to 17,408.83, 26,114.71 and 5,564.29

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Solution

The fourth proportional to 17,408.83, 26,114.71 and 5,564.29 is: 8,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.83 : 26,114.71 = 5,564.29 : x
  2. Step 2: Convert to fraction form
    17,408.83/26,114.71 = 5,564.29/x
  3. Step 3: Cross multiply
    17,408.83x = 26,114.71 × 5,564.29
  4. Step 4: Simplify right side
    17,408.83x = 145,309,819.71
  5. Step 5: Solve for x
    x = 145,309,819.71/17,408.83
  6. Step 6: Final answer
    x = 8,346.90

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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.