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Finding the Fourth Proportional to 12,047.47, 16,630.11 and 10,786.30

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Solution

The fourth proportional to 12,047.47, 16,630.11 and 10,786.30 is: 14,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.47 : 16,630.11 = 10,786.30 : x
  2. Step 2: Convert to fraction form
    12,047.47/16,630.11 = 10,786.30/x
  3. Step 3: Cross multiply
    12,047.47x = 16,630.11 × 10,786.30
  4. Step 4: Simplify right side
    12,047.47x = 179,377,313.92
  5. Step 5: Solve for x
    x = 179,377,313.92/12,047.47
  6. Step 6: Final answer
    x = 14,889.21

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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.