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Finding the Fourth Proportional to 12,071.50, 16,647.50 and 8,287.98

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Solution

The fourth proportional to 12,071.50, 16,647.50 and 8,287.98 is: 11,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.50 : 16,647.50 = 8,287.98 : x
  2. Step 2: Convert to fraction form
    12,071.50/16,647.50 = 8,287.98/x
  3. Step 3: Cross multiply
    12,071.50x = 16,647.50 × 8,287.98
  4. Step 4: Simplify right side
    12,071.50x = 137,974,147.05
  5. Step 5: Solve for x
    x = 137,974,147.05/12,071.50
  6. Step 6: Final answer
    x = 11,429.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.