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Finding the Fourth Proportional to 16,277.80, 22,463.83 and 9,204.07

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Solution

The fourth proportional to 16,277.80, 22,463.83 and 9,204.07 is: 12,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.80 : 22,463.83 = 9,204.07 : x
  2. Step 2: Convert to fraction form
    16,277.80/22,463.83 = 9,204.07/x
  3. Step 3: Cross multiply
    16,277.80x = 22,463.83 × 9,204.07
  4. Step 4: Simplify right side
    16,277.80x = 206,758,551.47
  5. Step 5: Solve for x
    x = 206,758,551.47/16,277.80
  6. Step 6: Final answer
    x = 12,701.88

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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.