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Finding the Fourth Proportional to 20,152.53, 27,812.97 and 12,197.52

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Solution

The fourth proportional to 20,152.53, 27,812.97 and 12,197.52 is: 16,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.53 : 27,812.97 = 12,197.52 : x
  2. Step 2: Convert to fraction form
    20,152.53/27,812.97 = 12,197.52/x
  3. Step 3: Cross multiply
    20,152.53x = 27,812.97 × 12,197.52
  4. Step 4: Simplify right side
    20,152.53x = 339,249,257.83
  5. Step 5: Solve for x
    x = 339,249,257.83/20,152.53
  6. Step 6: Final answer
    x = 16,834.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.