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Finding the Fourth Proportional to 12,323.50, 18,472.48 and 5,744.28

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Solution

The fourth proportional to 12,323.50, 18,472.48 and 5,744.28 is: 8,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.50 : 18,472.48 = 5,744.28 : x
  2. Step 2: Convert to fraction form
    12,323.50/18,472.48 = 5,744.28/x
  3. Step 3: Cross multiply
    12,323.50x = 18,472.48 × 5,744.28
  4. Step 4: Simplify right side
    12,323.50x = 106,111,097.41
  5. Step 5: Solve for x
    x = 106,111,097.41/12,323.50
  6. Step 6: Final answer
    x = 8,610.47

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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.