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Finding the Fourth Proportional to 20,188.84, 30,288.30 and 7,041.40

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Solution

The fourth proportional to 20,188.84, 30,288.30 and 7,041.40 is: 10,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.84 : 30,288.30 = 7,041.40 : x
  2. Step 2: Convert to fraction form
    20,188.84/30,288.30 = 7,041.40/x
  3. Step 3: Cross multiply
    20,188.84x = 30,288.30 × 7,041.40
  4. Step 4: Simplify right side
    20,188.84x = 213,272,035.62
  5. Step 5: Solve for x
    x = 213,272,035.62/20,188.84
  6. Step 6: Final answer
    x = 10,563.86

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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.