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Finding the Fourth Proportional to 16,215.38, 22,378.49 and 9,047.55

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Solution

The fourth proportional to 16,215.38, 22,378.49 and 9,047.55 is: 12,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.38 : 22,378.49 = 9,047.55 : x
  2. Step 2: Convert to fraction form
    16,215.38/22,378.49 = 9,047.55/x
  3. Step 3: Cross multiply
    16,215.38x = 22,378.49 × 9,047.55
  4. Step 4: Simplify right side
    16,215.38x = 202,470,507.20
  5. Step 5: Solve for x
    x = 202,470,507.20/16,215.38
  6. Step 6: Final answer
    x = 12,486.33

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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.