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Finding the Fourth Proportional to 20,148.92, 30,228.84 and 7,002.02

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Solution

The fourth proportional to 20,148.92, 30,228.84 and 7,002.02 is: 10,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.92 : 30,228.84 = 7,002.02 : x
  2. Step 2: Convert to fraction form
    20,148.92/30,228.84 = 7,002.02/x
  3. Step 3: Cross multiply
    20,148.92x = 30,228.84 × 7,002.02
  4. Step 4: Simplify right side
    20,148.92x = 211,662,791.11
  5. Step 5: Solve for x
    x = 211,662,791.11/20,148.92
  6. Step 6: Final answer
    x = 10,504.92

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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.