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Finding the Fourth Proportional to 12,532.92, 18,777.51 and 11,176.98

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Solution

The fourth proportional to 12,532.92, 18,777.51 and 11,176.98 is: 16,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.92 : 18,777.51 = 11,176.98 : x
  2. Step 2: Convert to fraction form
    12,532.92/18,777.51 = 11,176.98/x
  3. Step 3: Cross multiply
    12,532.92x = 18,777.51 × 11,176.98
  4. Step 4: Simplify right side
    12,532.92x = 209,875,853.72
  5. Step 5: Solve for x
    x = 209,875,853.72/12,532.92
  6. Step 6: Final answer
    x = 16,745.97

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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.