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Finding the Fourth Proportional to 25,630.30, 38,447.57 and 9,843

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Solution

The fourth proportional to 25,630.30, 38,447.57 and 9,843 is: 14,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,630.30 : 38,447.57 = 9,843 : x
  2. Step 2: Convert to fraction form
    25,630.30/38,447.57 = 9,843/x
  3. Step 3: Cross multiply
    25,630.30x = 38,447.57 × 9,843
  4. Step 4: Simplify right side
    25,630.30x = 378,439,431.51
  5. Step 5: Solve for x
    x = 378,439,431.51/25,630.30
  6. Step 6: Final answer
    x = 14,765.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.