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Finding the Fourth Proportional to 20,475.89, 30,711.39 and 12,047.45

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Solution

The fourth proportional to 20,475.89, 30,711.39 and 12,047.45 is: 18,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.89 : 30,711.39 = 12,047.45 : x
  2. Step 2: Convert to fraction form
    20,475.89/30,711.39 = 12,047.45/x
  3. Step 3: Cross multiply
    20,475.89x = 30,711.39 × 12,047.45
  4. Step 4: Simplify right side
    20,475.89x = 369,993,935.46
  5. Step 5: Solve for x
    x = 369,993,935.46/20,475.89
  6. Step 6: Final answer
    x = 18,069.74

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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.