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Finding the Fourth Proportional to 15,832.38, 21,848.70 and 8,759.28

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Solution

The fourth proportional to 15,832.38, 21,848.70 and 8,759.28 is: 12,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.38 : 21,848.70 = 8,759.28 : x
  2. Step 2: Convert to fraction form
    15,832.38/21,848.70 = 8,759.28/x
  3. Step 3: Cross multiply
    15,832.38x = 21,848.70 × 8,759.28
  4. Step 4: Simplify right side
    15,832.38x = 191,378,880.94
  5. Step 5: Solve for x
    x = 191,378,880.94/15,832.38
  6. Step 6: Final answer
    x = 12,087.82

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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.