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Finding the Fourth Proportional to 13,772.19, 20,639.76 and 7,522.83

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Solution

The fourth proportional to 13,772.19, 20,639.76 and 7,522.83 is: 11,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.19 : 20,639.76 = 7,522.83 : x
  2. Step 2: Convert to fraction form
    13,772.19/20,639.76 = 7,522.83/x
  3. Step 3: Cross multiply
    13,772.19x = 20,639.76 × 7,522.83
  4. Step 4: Simplify right side
    13,772.19x = 155,269,405.72
  5. Step 5: Solve for x
    x = 155,269,405.72/13,772.19
  6. Step 6: Final answer
    x = 11,274.13

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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.