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Finding the Fourth Proportional to 20,098.69, 30,138.45 and 9,005.47

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Solution

The fourth proportional to 20,098.69, 30,138.45 and 9,005.47 is: 13,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.69 : 30,138.45 = 9,005.47 : x
  2. Step 2: Convert to fraction form
    20,098.69/30,138.45 = 9,005.47/x
  3. Step 3: Cross multiply
    20,098.69x = 30,138.45 × 9,005.47
  4. Step 4: Simplify right side
    20,098.69x = 271,410,907.32
  5. Step 5: Solve for x
    x = 271,410,907.32/20,098.69
  6. Step 6: Final answer
    x = 13,503.91

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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.