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Finding the Fourth Proportional to 16,470.49, 22,731.06 and 10,809.80

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Solution

The fourth proportional to 16,470.49, 22,731.06 and 10,809.80 is: 14,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.49 : 22,731.06 = 10,809.80 : x
  2. Step 2: Convert to fraction form
    16,470.49/22,731.06 = 10,809.80/x
  3. Step 3: Cross multiply
    16,470.49x = 22,731.06 × 10,809.80
  4. Step 4: Simplify right side
    16,470.49x = 245,718,212.39
  5. Step 5: Solve for x
    x = 245,718,212.39/16,470.49
  6. Step 6: Final answer
    x = 14,918.70

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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.