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Finding the Fourth Proportional to 14,238.39, 19,645.98 and 8,266.98

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Solution

The fourth proportional to 14,238.39, 19,645.98 and 8,266.98 is: 11,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.39 : 19,645.98 = 8,266.98 : x
  2. Step 2: Convert to fraction form
    14,238.39/19,645.98 = 8,266.98/x
  3. Step 3: Cross multiply
    14,238.39x = 19,645.98 × 8,266.98
  4. Step 4: Simplify right side
    14,238.39x = 162,412,923.74
  5. Step 5: Solve for x
    x = 162,412,923.74/14,238.39
  6. Step 6: Final answer
    x = 11,406.69

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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.