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Finding the Fourth Proportional to 12,328.61, 18,498.98 and 7,647.41

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Solution

The fourth proportional to 12,328.61, 18,498.98 and 7,647.41 is: 11,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.61 : 18,498.98 = 7,647.41 : x
  2. Step 2: Convert to fraction form
    12,328.61/18,498.98 = 7,647.41/x
  3. Step 3: Cross multiply
    12,328.61x = 18,498.98 × 7,647.41
  4. Step 4: Simplify right side
    12,328.61x = 141,469,350.01
  5. Step 5: Solve for x
    x = 141,469,350.01/12,328.61
  6. Step 6: Final answer
    x = 11,474.89

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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.