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Finding the Fourth Proportional to 21,099.68, 31,644.80 and 6,306.67

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Solution

The fourth proportional to 21,099.68, 31,644.80 and 6,306.67 is: 9,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.68 : 31,644.80 = 6,306.67 : x
  2. Step 2: Convert to fraction form
    21,099.68/31,644.80 = 6,306.67/x
  3. Step 3: Cross multiply
    21,099.68x = 31,644.80 × 6,306.67
  4. Step 4: Simplify right side
    21,099.68x = 199,573,247.47
  5. Step 5: Solve for x
    x = 199,573,247.47/21,099.68
  6. Step 6: Final answer
    x = 9,458.59

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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.