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Finding the Fourth Proportional to 21,234.67, 31,852.02 and 5,439.76

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Solution

The fourth proportional to 21,234.67, 31,852.02 and 5,439.76 is: 8,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.67 : 31,852.02 = 5,439.76 : x
  2. Step 2: Convert to fraction form
    21,234.67/31,852.02 = 5,439.76/x
  3. Step 3: Cross multiply
    21,234.67x = 31,852.02 × 5,439.76
  4. Step 4: Simplify right side
    21,234.67x = 173,267,344.32
  5. Step 5: Solve for x
    x = 173,267,344.32/21,234.67
  6. Step 6: Final answer
    x = 8,159.64

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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.