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Finding the Fourth Proportional to 12,894.62, 19,334.41 and 4,007.54

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Solution

The fourth proportional to 12,894.62, 19,334.41 and 4,007.54 is: 6,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.62 : 19,334.41 = 4,007.54 : x
  2. Step 2: Convert to fraction form
    12,894.62/19,334.41 = 4,007.54/x
  3. Step 3: Cross multiply
    12,894.62x = 19,334.41 × 4,007.54
  4. Step 4: Simplify right side
    12,894.62x = 77,483,402.29
  5. Step 5: Solve for x
    x = 77,483,402.29/12,894.62
  6. Step 6: Final answer
    x = 6,008.97

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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.