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Finding the Fourth Proportional to 19,992.33, 30,006.78 and 10,138.41

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Solution

The fourth proportional to 19,992.33, 30,006.78 and 10,138.41 is: 15,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.33 : 30,006.78 = 10,138.41 : x
  2. Step 2: Convert to fraction form
    19,992.33/30,006.78 = 10,138.41/x
  3. Step 3: Cross multiply
    19,992.33x = 30,006.78 × 10,138.41
  4. Step 4: Simplify right side
    19,992.33x = 304,221,038.42
  5. Step 5: Solve for x
    x = 304,221,038.42/19,992.33
  6. Step 6: Final answer
    x = 15,216.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.