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Finding the Fourth Proportional to 20,196.64, 27,872.40 and 11,813.92

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Solution

The fourth proportional to 20,196.64, 27,872.40 and 11,813.92 is: 16,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.64 : 27,872.40 = 11,813.92 : x
  2. Step 2: Convert to fraction form
    20,196.64/27,872.40 = 11,813.92/x
  3. Step 3: Cross multiply
    20,196.64x = 27,872.40 × 11,813.92
  4. Step 4: Simplify right side
    20,196.64x = 329,282,303.81
  5. Step 5: Solve for x
    x = 329,282,303.81/20,196.64
  6. Step 6: Final answer
    x = 16,303.82

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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.