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Finding the Fourth Proportional to 21,307.72, 31,966.20 and 8,160.09

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Solution

The fourth proportional to 21,307.72, 31,966.20 and 8,160.09 is: 12,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.72 : 31,966.20 = 8,160.09 : x
  2. Step 2: Convert to fraction form
    21,307.72/31,966.20 = 8,160.09/x
  3. Step 3: Cross multiply
    21,307.72x = 31,966.20 × 8,160.09
  4. Step 4: Simplify right side
    21,307.72x = 260,847,028.16
  5. Step 5: Solve for x
    x = 260,847,028.16/21,307.72
  6. Step 6: Final answer
    x = 12,241.90

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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.