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Finding the Fourth Proportional to 13,758.30, 18,991.80 and 9,044.10

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Solution

The fourth proportional to 13,758.30, 18,991.80 and 9,044.10 is: 12,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.30 : 18,991.80 = 9,044.10 : x
  2. Step 2: Convert to fraction form
    13,758.30/18,991.80 = 9,044.10/x
  3. Step 3: Cross multiply
    13,758.30x = 18,991.80 × 9,044.10
  4. Step 4: Simplify right side
    13,758.30x = 171,763,738.38
  5. Step 5: Solve for x
    x = 171,763,738.38/13,758.30
  6. Step 6: Final answer
    x = 12,484.37

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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.