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Finding the Fourth Proportional to 15,816.42, 21,824.43 and 9,010.62

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Solution

The fourth proportional to 15,816.42, 21,824.43 and 9,010.62 is: 12,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.42 : 21,824.43 = 9,010.62 : x
  2. Step 2: Convert to fraction form
    15,816.42/21,824.43 = 9,010.62/x
  3. Step 3: Cross multiply
    15,816.42x = 21,824.43 × 9,010.62
  4. Step 4: Simplify right side
    15,816.42x = 196,651,645.45
  5. Step 5: Solve for x
    x = 196,651,645.45/15,816.42
  6. Step 6: Final answer
    x = 12,433.39

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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.