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Finding the Fourth Proportional to 14,046.02, 19,383.38 and 7,758.26

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Solution

The fourth proportional to 14,046.02, 19,383.38 and 7,758.26 is: 10,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.02 : 19,383.38 = 7,758.26 : x
  2. Step 2: Convert to fraction form
    14,046.02/19,383.38 = 7,758.26/x
  3. Step 3: Cross multiply
    14,046.02x = 19,383.38 × 7,758.26
  4. Step 4: Simplify right side
    14,046.02x = 150,381,301.72
  5. Step 5: Solve for x
    x = 150,381,301.72/14,046.02
  6. Step 6: Final answer
    x = 10,706.33

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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.