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Finding the Fourth Proportional to 21,253.68, 31,881.56 and 8,107.07

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Solution

The fourth proportional to 21,253.68, 31,881.56 and 8,107.07 is: 12,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.68 : 31,881.56 = 8,107.07 : x
  2. Step 2: Convert to fraction form
    21,253.68/31,881.56 = 8,107.07/x
  3. Step 3: Cross multiply
    21,253.68x = 31,881.56 × 8,107.07
  4. Step 4: Simplify right side
    21,253.68x = 258,465,838.69
  5. Step 5: Solve for x
    x = 258,465,838.69/21,253.68
  6. Step 6: Final answer
    x = 12,160.99

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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.