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Finding the Fourth Proportional to 21,266.42, 31,904.39 and 6,476.49

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Solution

The fourth proportional to 21,266.42, 31,904.39 and 6,476.49 is: 9,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.42 : 31,904.39 = 6,476.49 : x
  2. Step 2: Convert to fraction form
    21,266.42/31,904.39 = 6,476.49/x
  3. Step 3: Cross multiply
    21,266.42x = 31,904.39 × 6,476.49
  4. Step 4: Simplify right side
    21,266.42x = 206,628,430.41
  5. Step 5: Solve for x
    x = 206,628,430.41/21,266.42
  6. Step 6: Final answer
    x = 9,716.18

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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.