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Finding the Fourth Proportional to 15,833.80, 21,850.86 and 9,867.88

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Solution

The fourth proportional to 15,833.80, 21,850.86 and 9,867.88 is: 13,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.80 : 21,850.86 = 9,867.88 : x
  2. Step 2: Convert to fraction form
    15,833.80/21,850.86 = 9,867.88/x
  3. Step 3: Cross multiply
    15,833.80x = 21,850.86 × 9,867.88
  4. Step 4: Simplify right side
    15,833.80x = 215,621,664.38
  5. Step 5: Solve for x
    x = 215,621,664.38/15,833.80
  6. Step 6: Final answer
    x = 13,617.81

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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.