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Finding the Fourth Proportional to 19,603, 27,052.14 and 10,771

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Solution

The fourth proportional to 19,603, 27,052.14 and 10,771 is: 14,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,603 : 27,052.14 = 10,771 : x
  2. Step 2: Convert to fraction form
    19,603/27,052.14 = 10,771/x
  3. Step 3: Cross multiply
    19,603x = 27,052.14 × 10,771
  4. Step 4: Simplify right side
    19,603x = 291,378,599.94
  5. Step 5: Solve for x
    x = 291,378,599.94/19,603
  6. Step 6: Final answer
    x = 14,863.98

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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.