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Finding the Fourth Proportional to 21,244.68, 31,866.75 and 9,549.63

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Solution

The fourth proportional to 21,244.68, 31,866.75 and 9,549.63 is: 14,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244.68 : 31,866.75 = 9,549.63 : x
  2. Step 2: Convert to fraction form
    21,244.68/31,866.75 = 9,549.63/x
  3. Step 3: Cross multiply
    21,244.68x = 31,866.75 × 9,549.63
  4. Step 4: Simplify right side
    21,244.68x = 304,315,671.80
  5. Step 5: Solve for x
    x = 304,315,671.80/21,244.68
  6. Step 6: Final answer
    x = 14,324.32

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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.