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Finding the Fourth Proportional to 13,644.15, 20,428.26 and 6,966.22

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Solution

The fourth proportional to 13,644.15, 20,428.26 and 6,966.22 is: 10,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.15 : 20,428.26 = 6,966.22 : x
  2. Step 2: Convert to fraction form
    13,644.15/20,428.26 = 6,966.22/x
  3. Step 3: Cross multiply
    13,644.15x = 20,428.26 × 6,966.22
  4. Step 4: Simplify right side
    13,644.15x = 142,307,784.52
  5. Step 5: Solve for x
    x = 142,307,784.52/13,644.15
  6. Step 6: Final answer
    x = 10,429.95

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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.