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Finding the Fourth Proportional to 16,627.89, 24,922 and 7,731.21

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Solution

The fourth proportional to 16,627.89, 24,922 and 7,731.21 is: 11,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.89 : 24,922 = 7,731.21 : x
  2. Step 2: Convert to fraction form
    16,627.89/24,922 = 7,731.21/x
  3. Step 3: Cross multiply
    16,627.89x = 24,922 × 7,731.21
  4. Step 4: Simplify right side
    16,627.89x = 192,677,215.62
  5. Step 5: Solve for x
    x = 192,677,215.62/16,627.89
  6. Step 6: Final answer
    x = 11,587.59

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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.