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Finding the Fourth Proportional to 15,258.78, 22,894.38 and 8,247.42

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Solution

The fourth proportional to 15,258.78, 22,894.38 and 8,247.42 is: 12,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.78 : 22,894.38 = 8,247.42 : x
  2. Step 2: Convert to fraction form
    15,258.78/22,894.38 = 8,247.42/x
  3. Step 3: Cross multiply
    15,258.78x = 22,894.38 × 8,247.42
  4. Step 4: Simplify right side
    15,258.78x = 188,819,567.50
  5. Step 5: Solve for x
    x = 188,819,567.50/15,258.78
  6. Step 6: Final answer
    x = 12,374.49

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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.