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Finding the Fourth Proportional to 15,872.56, 21,903.42 and 9,159.38

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Solution

The fourth proportional to 15,872.56, 21,903.42 and 9,159.38 is: 12,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.56 : 21,903.42 = 9,159.38 : x
  2. Step 2: Convert to fraction form
    15,872.56/21,903.42 = 9,159.38/x
  3. Step 3: Cross multiply
    15,872.56x = 21,903.42 × 9,159.38
  4. Step 4: Simplify right side
    15,872.56x = 200,621,747.08
  5. Step 5: Solve for x
    x = 200,621,747.08/15,872.56
  6. Step 6: Final answer
    x = 12,639.53

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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.