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Finding the Fourth Proportional to 13,461.92, 18,593 and 8,977.88

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Solution

The fourth proportional to 13,461.92, 18,593 and 8,977.88 is: 12,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.92 : 18,593 = 8,977.88 : x
  2. Step 2: Convert to fraction form
    13,461.92/18,593 = 8,977.88/x
  3. Step 3: Cross multiply
    13,461.92x = 18,593 × 8,977.88
  4. Step 4: Simplify right side
    13,461.92x = 166,925,722.84
  5. Step 5: Solve for x
    x = 166,925,722.84/13,461.92
  6. Step 6: Final answer
    x = 12,399.85

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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.