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Finding the Fourth Proportional to 21,234.71, 31,852.14 and 6,443.75

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Solution

The fourth proportional to 21,234.71, 31,852.14 and 6,443.75 is: 9,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.71 : 31,852.14 = 6,443.75 : x
  2. Step 2: Convert to fraction form
    21,234.71/31,852.14 = 6,443.75/x
  3. Step 3: Cross multiply
    21,234.71x = 31,852.14 × 6,443.75
  4. Step 4: Simplify right side
    21,234.71x = 205,247,227.13
  5. Step 5: Solve for x
    x = 205,247,227.13/21,234.71
  6. Step 6: Final answer
    x = 9,665.65

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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.