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Finding the Fourth Proportional to 21,132.70, 31,681.21 and 13,324.30

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Solution

The fourth proportional to 21,132.70, 31,681.21 and 13,324.30 is: 19,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.70 : 31,681.21 = 13,324.30 : x
  2. Step 2: Convert to fraction form
    21,132.70/31,681.21 = 13,324.30/x
  3. Step 3: Cross multiply
    21,132.70x = 31,681.21 × 13,324.30
  4. Step 4: Simplify right side
    21,132.70x = 422,129,946.40
  5. Step 5: Solve for x
    x = 422,129,946.40/21,132.70
  6. Step 6: Final answer
    x = 19,975.20

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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.