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Finding the Fourth Proportional to 21,244.27, 31,866.40 and 6,453.13

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Solution

The fourth proportional to 21,244.27, 31,866.40 and 6,453.13 is: 9,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244.27 : 31,866.40 = 6,453.13 : x
  2. Step 2: Convert to fraction form
    21,244.27/31,866.40 = 6,453.13/x
  3. Step 3: Cross multiply
    21,244.27x = 31,866.40 × 6,453.13
  4. Step 4: Simplify right side
    21,244.27x = 205,637,989.57
  5. Step 5: Solve for x
    x = 205,637,989.57/21,244.27
  6. Step 6: Final answer
    x = 9,679.69

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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.