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Finding the Fourth Proportional to 17,778.50, 26,667.76 and 5,466.50

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Solution

The fourth proportional to 17,778.50, 26,667.76 and 5,466.50 is: 8,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.50 : 26,667.76 = 5,466.50 : x
  2. Step 2: Convert to fraction form
    17,778.50/26,667.76 = 5,466.50/x
  3. Step 3: Cross multiply
    17,778.50x = 26,667.76 × 5,466.50
  4. Step 4: Simplify right side
    17,778.50x = 145,779,310.04
  5. Step 5: Solve for x
    x = 145,779,310.04/17,778.50
  6. Step 6: Final answer
    x = 8,199.75

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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.