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Finding the Fourth Proportional to 13,641.38, 18,822.75 and 7,672.58

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Solution

The fourth proportional to 13,641.38, 18,822.75 and 7,672.58 is: 10,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.38 : 18,822.75 = 7,672.58 : x
  2. Step 2: Convert to fraction form
    13,641.38/18,822.75 = 7,672.58/x
  3. Step 3: Cross multiply
    13,641.38x = 18,822.75 × 7,672.58
  4. Step 4: Simplify right side
    13,641.38x = 144,419,055.20
  5. Step 5: Solve for x
    x = 144,419,055.20/13,641.38
  6. Step 6: Final answer
    x = 10,586.84

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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.