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Finding the Fourth Proportional to 20,165.40, 30,229.47 and 10,811.93

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Solution

The fourth proportional to 20,165.40, 30,229.47 and 10,811.93 is: 16,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.40 : 30,229.47 = 10,811.93 : x
  2. Step 2: Convert to fraction form
    20,165.40/30,229.47 = 10,811.93/x
  3. Step 3: Cross multiply
    20,165.40x = 30,229.47 × 10,811.93
  4. Step 4: Simplify right side
    20,165.40x = 326,838,762.43
  5. Step 5: Solve for x
    x = 326,838,762.43/20,165.40
  6. Step 6: Final answer
    x = 16,207.90

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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.