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Finding the Fourth Proportional to 16,847, 23,248.38 and 9,293.36

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Solution

The fourth proportional to 16,847, 23,248.38 and 9,293.36 is: 12,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847 : 23,248.38 = 9,293.36 : x
  2. Step 2: Convert to fraction form
    16,847/23,248.38 = 9,293.36/x
  3. Step 3: Cross multiply
    16,847x = 23,248.38 × 9,293.36
  4. Step 4: Simplify right side
    16,847x = 216,055,564.76
  5. Step 5: Solve for x
    x = 216,055,564.76/16,847
  6. Step 6: Final answer
    x = 12,824.57

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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.