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Finding the Fourth Proportional to 21,267.41, 31,905.87 and 6,477.49

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Solution

The fourth proportional to 21,267.41, 31,905.87 and 6,477.49 is: 9,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.41 : 31,905.87 = 6,477.49 : x
  2. Step 2: Convert to fraction form
    21,267.41/31,905.87 = 6,477.49/x
  3. Step 3: Cross multiply
    21,267.41x = 31,905.87 × 6,477.49
  4. Step 4: Simplify right side
    21,267.41x = 206,670,113.85
  5. Step 5: Solve for x
    x = 206,670,113.85/21,267.41
  6. Step 6: Final answer
    x = 9,717.69

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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.