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Finding the Fourth Proportional to 21,131.70, 31,679.71 and 13,323.30

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Solution

The fourth proportional to 21,131.70, 31,679.71 and 13,323.30 is: 19,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.70 : 31,679.71 = 13,323.30 : x
  2. Step 2: Convert to fraction form
    21,131.70/31,679.71 = 13,323.30/x
  3. Step 3: Cross multiply
    21,131.70x = 31,679.71 × 13,323.30
  4. Step 4: Simplify right side
    21,131.70x = 422,078,280.24
  5. Step 5: Solve for x
    x = 422,078,280.24/21,131.70
  6. Step 6: Final answer
    x = 19,973.70

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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.