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Finding the Fourth Proportional to 15,448, 21,318.12 and 8,374.24

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Solution

The fourth proportional to 15,448, 21,318.12 and 8,374.24 is: 11,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,448 : 21,318.12 = 8,374.24 : x
  2. Step 2: Convert to fraction form
    15,448/21,318.12 = 8,374.24/x
  3. Step 3: Cross multiply
    15,448x = 21,318.12 × 8,374.24
  4. Step 4: Simplify right side
    15,448x = 178,523,053.23
  5. Step 5: Solve for x
    x = 178,523,053.23/15,448
  6. Step 6: Final answer
    x = 11,556.39

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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.