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Finding the Fourth Proportional to 20,140.68, 30,184.74 and 10,271.64

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Solution

The fourth proportional to 20,140.68, 30,184.74 and 10,271.64 is: 15,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.68 : 30,184.74 = 10,271.64 : x
  2. Step 2: Convert to fraction form
    20,140.68/30,184.74 = 10,271.64/x
  3. Step 3: Cross multiply
    20,140.68x = 30,184.74 × 10,271.64
  4. Step 4: Simplify right side
    20,140.68x = 310,046,782.77
  5. Step 5: Solve for x
    x = 310,046,782.77/20,140.68
  6. Step 6: Final answer
    x = 15,394.06

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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.