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Finding the Fourth Proportional to 19,863.50, 27,408.58 and 11,478.38

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Solution

The fourth proportional to 19,863.50, 27,408.58 and 11,478.38 is: 15,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.50 : 27,408.58 = 11,478.38 : x
  2. Step 2: Convert to fraction form
    19,863.50/27,408.58 = 11,478.38/x
  3. Step 3: Cross multiply
    19,863.50x = 27,408.58 × 11,478.38
  4. Step 4: Simplify right side
    19,863.50x = 314,605,930.76
  5. Step 5: Solve for x
    x = 314,605,930.76/19,863.50
  6. Step 6: Final answer
    x = 15,838.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.