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Finding the Fourth Proportional to 11,657.40, 17,466.66 and 8,188.44

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Solution

The fourth proportional to 11,657.40, 17,466.66 and 8,188.44 is: 12,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.40 : 17,466.66 = 8,188.44 : x
  2. Step 2: Convert to fraction form
    11,657.40/17,466.66 = 8,188.44/x
  3. Step 3: Cross multiply
    11,657.40x = 17,466.66 × 8,188.44
  4. Step 4: Simplify right side
    11,657.40x = 143,024,697.41
  5. Step 5: Solve for x
    x = 143,024,697.41/11,657.40
  6. Step 6: Final answer
    x = 12,269.00

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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.