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Finding the Fourth Proportional to 15,794.52, 23,684.80 and 7,023.28

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Solution

The fourth proportional to 15,794.52, 23,684.80 and 7,023.28 is: 10,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.52 : 23,684.80 = 7,023.28 : x
  2. Step 2: Convert to fraction form
    15,794.52/23,684.80 = 7,023.28/x
  3. Step 3: Cross multiply
    15,794.52x = 23,684.80 × 7,023.28
  4. Step 4: Simplify right side
    15,794.52x = 166,344,982.14
  5. Step 5: Solve for x
    x = 166,344,982.14/15,794.52
  6. Step 6: Final answer
    x = 10,531.82

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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.