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Finding the Fourth Proportional to 15,324.60, 22,979.73 and 6,438.06

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Solution

The fourth proportional to 15,324.60, 22,979.73 and 6,438.06 is: 9,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.60 : 22,979.73 = 6,438.06 : x
  2. Step 2: Convert to fraction form
    15,324.60/22,979.73 = 6,438.06/x
  3. Step 3: Cross multiply
    15,324.60x = 22,979.73 × 6,438.06
  4. Step 4: Simplify right side
    15,324.60x = 147,944,880.52
  5. Step 5: Solve for x
    x = 147,944,880.52/15,324.60
  6. Step 6: Final answer
    x = 9,654.08

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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.