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Finding the Fourth Proportional to 14,044.77, 19,381.28 and 7,757.01

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Solution

The fourth proportional to 14,044.77, 19,381.28 and 7,757.01 is: 10,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.77 : 19,381.28 = 7,757.01 : x
  2. Step 2: Convert to fraction form
    14,044.77/19,381.28 = 7,757.01/x
  3. Step 3: Cross multiply
    14,044.77x = 19,381.28 × 7,757.01
  4. Step 4: Simplify right side
    14,044.77x = 150,340,743.99
  5. Step 5: Solve for x
    x = 150,340,743.99/14,044.77
  6. Step 6: Final answer
    x = 10,704.39

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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.