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Finding the Fourth Proportional to 16,277.52, 22,462.41 and 9,203.79

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Solution

The fourth proportional to 16,277.52, 22,462.41 and 9,203.79 is: 12,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.52 : 22,462.41 = 9,203.79 : x
  2. Step 2: Convert to fraction form
    16,277.52/22,462.41 = 9,203.79/x
  3. Step 3: Cross multiply
    16,277.52x = 22,462.41 × 9,203.79
  4. Step 4: Simplify right side
    16,277.52x = 206,739,304.53
  5. Step 5: Solve for x
    x = 206,739,304.53/16,277.52
  6. Step 6: Final answer
    x = 12,700.91

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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.