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Finding the Fourth Proportional to 21,234.80, 31,857.24 and 6,442.76

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Solution

The fourth proportional to 21,234.80, 31,857.24 and 6,442.76 is: 9,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.80 : 31,857.24 = 6,442.76 : x
  2. Step 2: Convert to fraction form
    21,234.80/31,857.24 = 6,442.76/x
  3. Step 3: Cross multiply
    21,234.80x = 31,857.24 × 6,442.76
  4. Step 4: Simplify right side
    21,234.80x = 205,248,551.58
  5. Step 5: Solve for x
    x = 205,248,551.58/21,234.80
  6. Step 6: Final answer
    x = 9,665.67

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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.