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Finding the Fourth Proportional to 15,894.52, 23,839.72 and 4,208.64

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Solution

The fourth proportional to 15,894.52, 23,839.72 and 4,208.64 is: 6,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.52 : 23,839.72 = 4,208.64 : x
  2. Step 2: Convert to fraction form
    15,894.52/23,839.72 = 4,208.64/x
  3. Step 3: Cross multiply
    15,894.52x = 23,839.72 × 4,208.64
  4. Step 4: Simplify right side
    15,894.52x = 100,332,799.18
  5. Step 5: Solve for x
    x = 100,332,799.18/15,894.52
  6. Step 6: Final answer
    x = 6,312.41

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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.