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Finding the Fourth Proportional to 21,059.62, 31,532.42 and 13,143.20

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Solution

The fourth proportional to 21,059.62, 31,532.42 and 13,143.20 is: 19,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.62 : 31,532.42 = 13,143.20 : x
  2. Step 2: Convert to fraction form
    21,059.62/31,532.42 = 13,143.20/x
  3. Step 3: Cross multiply
    21,059.62x = 31,532.42 × 13,143.20
  4. Step 4: Simplify right side
    21,059.62x = 414,436,777.74
  5. Step 5: Solve for x
    x = 414,436,777.74/21,059.62
  6. Step 6: Final answer
    x = 19,679.22

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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.