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Finding the Fourth Proportional to 16,116.99, 22,242.78 and 8,947.57

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Solution

The fourth proportional to 16,116.99, 22,242.78 and 8,947.57 is: 12,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.99 : 22,242.78 = 8,947.57 : x
  2. Step 2: Convert to fraction form
    16,116.99/22,242.78 = 8,947.57/x
  3. Step 3: Cross multiply
    16,116.99x = 22,242.78 × 8,947.57
  4. Step 4: Simplify right side
    16,116.99x = 199,018,831.04
  5. Step 5: Solve for x
    x = 199,018,831.04/16,116.99
  6. Step 6: Final answer
    x = 12,348.39

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Why These Related Problems?

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