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Finding the Fourth Proportional to 16,506.72, 22,777.92 and 9,054.72

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Solution

The fourth proportional to 16,506.72, 22,777.92 and 9,054.72 is: 12,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.72 : 22,777.92 = 9,054.72 : x
  2. Step 2: Convert to fraction form
    16,506.72/22,777.92 = 9,054.72/x
  3. Step 3: Cross multiply
    16,506.72x = 22,777.92 × 9,054.72
  4. Step 4: Simplify right side
    16,506.72x = 206,247,687.78
  5. Step 5: Solve for x
    x = 206,247,687.78/16,506.72
  6. Step 6: Final answer
    x = 12,494.77

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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.