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Finding the Fourth Proportional to 15,894.92, 23,839.64 and 4,209.32

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Solution

The fourth proportional to 15,894.92, 23,839.64 and 4,209.32 is: 6,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.92 : 23,839.64 = 4,209.32 : x
  2. Step 2: Convert to fraction form
    15,894.92/23,839.64 = 4,209.32/x
  3. Step 3: Cross multiply
    15,894.92x = 23,839.64 × 4,209.32
  4. Step 4: Simplify right side
    15,894.92x = 100,348,673.44
  5. Step 5: Solve for x
    x = 100,348,673.44/15,894.92
  6. Step 6: Final answer
    x = 6,313.25

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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.