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Finding the Fourth Proportional to 15,324.83, 22,975.54 and 7,924.56

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Solution

The fourth proportional to 15,324.83, 22,975.54 and 7,924.56 is: 11,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.83 : 22,975.54 = 7,924.56 : x
  2. Step 2: Convert to fraction form
    15,324.83/22,975.54 = 7,924.56/x
  3. Step 3: Cross multiply
    15,324.83x = 22,975.54 × 7,924.56
  4. Step 4: Simplify right side
    15,324.83x = 182,071,045.26
  5. Step 5: Solve for x
    x = 182,071,045.26/15,324.83
  6. Step 6: Final answer
    x = 11,880.79

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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.