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Finding the Fourth Proportional to 14,846, 20,493.88 and 10,867.28

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Solution

The fourth proportional to 14,846, 20,493.88 and 10,867.28 is: 15,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846 : 20,493.88 = 10,867.28 : x
  2. Step 2: Convert to fraction form
    14,846/20,493.88 = 10,867.28/x
  3. Step 3: Cross multiply
    14,846x = 20,493.88 × 10,867.28
  4. Step 4: Simplify right side
    14,846x = 222,712,732.25
  5. Step 5: Solve for x
    x = 222,712,732.25/14,846
  6. Step 6: Final answer
    x = 15,001.53

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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.