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Finding the Fourth Proportional to 20,188.92, 30,284.61 and 6,149.98

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Solution

The fourth proportional to 20,188.92, 30,284.61 and 6,149.98 is: 9,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.92 : 30,284.61 = 6,149.98 : x
  2. Step 2: Convert to fraction form
    20,188.92/30,284.61 = 6,149.98/x
  3. Step 3: Cross multiply
    20,188.92x = 30,284.61 × 6,149.98
  4. Step 4: Simplify right side
    20,188.92x = 186,249,607.55
  5. Step 5: Solve for x
    x = 186,249,607.55/20,188.92
  6. Step 6: Final answer
    x = 9,225.34

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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.