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Finding the Fourth Proportional to 20,271.57, 30,400.02 and 7,785.15

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Solution

The fourth proportional to 20,271.57, 30,400.02 and 7,785.15 is: 11,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.57 : 30,400.02 = 7,785.15 : x
  2. Step 2: Convert to fraction form
    20,271.57/30,400.02 = 7,785.15/x
  3. Step 3: Cross multiply
    20,271.57x = 30,400.02 × 7,785.15
  4. Step 4: Simplify right side
    20,271.57x = 236,668,715.70
  5. Step 5: Solve for x
    x = 236,668,715.70/20,271.57
  6. Step 6: Final answer
    x = 11,674.91

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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.