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Finding the Fourth Proportional to 15,324.31, 22,986.47 and 4,936.06

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Solution

The fourth proportional to 15,324.31, 22,986.47 and 4,936.06 is: 7,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.31 : 22,986.47 = 4,936.06 : x
  2. Step 2: Convert to fraction form
    15,324.31/22,986.47 = 4,936.06/x
  3. Step 3: Cross multiply
    15,324.31x = 22,986.47 × 4,936.06
  4. Step 4: Simplify right side
    15,324.31x = 113,462,595.11
  5. Step 5: Solve for x
    x = 113,462,595.11/15,324.31
  6. Step 6: Final answer
    x = 7,404.09

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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.