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Finding the Fourth Proportional to 21,101.84, 31,658.37 and 6,310.90

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Solution

The fourth proportional to 21,101.84, 31,658.37 and 6,310.90 is: 9,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.84 : 31,658.37 = 6,310.90 : x
  2. Step 2: Convert to fraction form
    21,101.84/31,658.37 = 6,310.90/x
  3. Step 3: Cross multiply
    21,101.84x = 31,658.37 × 6,310.90
  4. Step 4: Simplify right side
    21,101.84x = 199,792,728.09
  5. Step 5: Solve for x
    x = 199,792,728.09/21,101.84
  6. Step 6: Final answer
    x = 9,468.03

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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.