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Finding the Fourth Proportional to 12,537.31, 18,805.81 and 3,049.68

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Solution

The fourth proportional to 12,537.31, 18,805.81 and 3,049.68 is: 4,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.31 : 18,805.81 = 3,049.68 : x
  2. Step 2: Convert to fraction form
    12,537.31/18,805.81 = 3,049.68/x
  3. Step 3: Cross multiply
    12,537.31x = 18,805.81 × 3,049.68
  4. Step 4: Simplify right side
    12,537.31x = 57,351,779.83
  5. Step 5: Solve for x
    x = 57,351,779.83/12,537.31
  6. Step 6: Final answer
    x = 4,574.49

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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.