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Finding the Fourth Proportional to 13,877.62, 20,797.19 and 7,630.10

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Solution

The fourth proportional to 13,877.62, 20,797.19 and 7,630.10 is: 11,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.62 : 20,797.19 = 7,630.10 : x
  2. Step 2: Convert to fraction form
    13,877.62/20,797.19 = 7,630.10/x
  3. Step 3: Cross multiply
    13,877.62x = 20,797.19 × 7,630.10
  4. Step 4: Simplify right side
    13,877.62x = 158,684,639.42
  5. Step 5: Solve for x
    x = 158,684,639.42/13,877.62
  6. Step 6: Final answer
    x = 11,434.57

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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.