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Finding the Fourth Proportional to 15,604.48, 21,532.52 and 9,231.31

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Solution

The fourth proportional to 15,604.48, 21,532.52 and 9,231.31 is: 12,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604.48 : 21,532.52 = 9,231.31 : x
  2. Step 2: Convert to fraction form
    15,604.48/21,532.52 = 9,231.31/x
  3. Step 3: Cross multiply
    15,604.48x = 21,532.52 × 9,231.31
  4. Step 4: Simplify right side
    15,604.48x = 198,773,417.20
  5. Step 5: Solve for x
    x = 198,773,417.20/15,604.48
  6. Step 6: Final answer
    x = 12,738.23

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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.