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Finding the Fourth Proportional to 20,339.16, 30,511.14 and 7,188.84

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Solution

The fourth proportional to 20,339.16, 30,511.14 and 7,188.84 is: 10,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339.16 : 30,511.14 = 7,188.84 : x
  2. Step 2: Convert to fraction form
    20,339.16/30,511.14 = 7,188.84/x
  3. Step 3: Cross multiply
    20,339.16x = 30,511.14 × 7,188.84
  4. Step 4: Simplify right side
    20,339.16x = 219,339,703.68
  5. Step 5: Solve for x
    x = 219,339,703.68/20,339.16
  6. Step 6: Final answer
    x = 10,784.11

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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.