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Finding the Fourth Proportional to 16,377.72, 22,601.14 and 9,304.14

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Solution

The fourth proportional to 16,377.72, 22,601.14 and 9,304.14 is: 12,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.72 : 22,601.14 = 9,304.14 : x
  2. Step 2: Convert to fraction form
    16,377.72/22,601.14 = 9,304.14/x
  3. Step 3: Cross multiply
    16,377.72x = 22,601.14 × 9,304.14
  4. Step 4: Simplify right side
    16,377.72x = 210,284,267.10
  5. Step 5: Solve for x
    x = 210,284,267.10/16,377.72
  6. Step 6: Final answer
    x = 12,839.65

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1.5x scale

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.