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Finding the Fourth Proportional to 19,992.15, 30,006.72 and 10,138.50

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Solution

The fourth proportional to 19,992.15, 30,006.72 and 10,138.50 is: 15,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.15 : 30,006.72 = 10,138.50 : x
  2. Step 2: Convert to fraction form
    19,992.15/30,006.72 = 10,138.50/x
  3. Step 3: Cross multiply
    19,992.15x = 30,006.72 × 10,138.50
  4. Step 4: Simplify right side
    19,992.15x = 304,223,130.72
  5. Step 5: Solve for x
    x = 304,223,130.72/19,992.15
  6. Step 6: Final answer
    x = 15,217.13

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Why These Related Problems?

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