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Finding the Fourth Proportional to 15,491.82, 23,237.33 and 5,631.29

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Solution

The fourth proportional to 15,491.82, 23,237.33 and 5,631.29 is: 8,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.82 : 23,237.33 = 5,631.29 : x
  2. Step 2: Convert to fraction form
    15,491.82/23,237.33 = 5,631.29/x
  3. Step 3: Cross multiply
    15,491.82x = 23,237.33 × 5,631.29
  4. Step 4: Simplify right side
    15,491.82x = 130,855,999.71
  5. Step 5: Solve for x
    x = 130,855,999.71/15,491.82
  6. Step 6: Final answer
    x = 8,446.78

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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.