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Finding the Fourth Proportional to 20,165.57, 30,225.93 and 15,219.17

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Solution

The fourth proportional to 20,165.57, 30,225.93 and 15,219.17 is: 22,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.57 : 30,225.93 = 15,219.17 : x
  2. Step 2: Convert to fraction form
    20,165.57/30,225.93 = 15,219.17/x
  3. Step 3: Cross multiply
    20,165.57x = 30,225.93 × 15,219.17
  4. Step 4: Simplify right side
    20,165.57x = 460,013,567.08
  5. Step 5: Solve for x
    x = 460,013,567.08/20,165.57
  6. Step 6: Final answer
    x = 22,811.83

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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.