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Finding the Fourth Proportional to 28,195.49, 38,908.10 and 15,446.14

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Solution

The fourth proportional to 28,195.49, 38,908.10 and 15,446.14 is: 21,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,195.49 : 38,908.10 = 15,446.14 : x
  2. Step 2: Convert to fraction form
    28,195.49/38,908.10 = 15,446.14/x
  3. Step 3: Cross multiply
    28,195.49x = 38,908.10 × 15,446.14
  4. Step 4: Simplify right side
    28,195.49x = 600,979,901.08
  5. Step 5: Solve for x
    x = 600,979,901.08/28,195.49
  6. Step 6: Final answer
    x = 21,314.75

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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.