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Finding the Fourth Proportional to 14,238.81, 19,648.22 and 8,270.33

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Solution

The fourth proportional to 14,238.81, 19,648.22 and 8,270.33 is: 11,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.81 : 19,648.22 = 8,270.33 : x
  2. Step 2: Convert to fraction form
    14,238.81/19,648.22 = 8,270.33/x
  3. Step 3: Cross multiply
    14,238.81x = 19,648.22 × 8,270.33
  4. Step 4: Simplify right side
    14,238.81x = 162,497,123.72
  5. Step 5: Solve for x
    x = 162,497,123.72/14,238.81
  6. Step 6: Final answer
    x = 11,412.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.