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Finding the Fourth Proportional to 21,873.76, 32,815.87 and 7,082.70

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Solution

The fourth proportional to 21,873.76, 32,815.87 and 7,082.70 is: 10,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.76 : 32,815.87 = 7,082.70 : x
  2. Step 2: Convert to fraction form
    21,873.76/32,815.87 = 7,082.70/x
  3. Step 3: Cross multiply
    21,873.76x = 32,815.87 × 7,082.70
  4. Step 4: Simplify right side
    21,873.76x = 232,424,762.96
  5. Step 5: Solve for x
    x = 232,424,762.96/21,873.76
  6. Step 6: Final answer
    x = 10,625.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.