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Finding the Fourth Proportional to 20,563.30, 30,844.95 and 10,195.30

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Solution

The fourth proportional to 20,563.30, 30,844.95 and 10,195.30 is: 15,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.30 : 30,844.95 = 10,195.30 : x
  2. Step 2: Convert to fraction form
    20,563.30/30,844.95 = 10,195.30/x
  3. Step 3: Cross multiply
    20,563.30x = 30,844.95 × 10,195.30
  4. Step 4: Simplify right side
    20,563.30x = 314,473,518.74
  5. Step 5: Solve for x
    x = 314,473,518.74/20,563.30
  6. Step 6: Final answer
    x = 15,292.95

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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.