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Finding the Fourth Proportional to 14,238.91, 19,650.25 and 7,865.83

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Solution

The fourth proportional to 14,238.91, 19,650.25 and 7,865.83 is: 10,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.91 : 19,650.25 = 7,865.83 : x
  2. Step 2: Convert to fraction form
    14,238.91/19,650.25 = 7,865.83/x
  3. Step 3: Cross multiply
    14,238.91x = 19,650.25 × 7,865.83
  4. Step 4: Simplify right side
    14,238.91x = 154,565,388.38
  5. Step 5: Solve for x
    x = 154,565,388.38/14,238.91
  6. Step 6: Final answer
    x = 10,855.15

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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.