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Finding the Fourth Proportional to 14,637, 20,199.06 and 8,013

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Solution

The fourth proportional to 14,637, 20,199.06 and 8,013 is: 11,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637 : 20,199.06 = 8,013 : x
  2. Step 2: Convert to fraction form
    14,637/20,199.06 = 8,013/x
  3. Step 3: Cross multiply
    14,637x = 20,199.06 × 8,013
  4. Step 4: Simplify right side
    14,637x = 161,855,067.78
  5. Step 5: Solve for x
    x = 161,855,067.78/14,637
  6. Step 6: Final answer
    x = 11,057.94

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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.