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Finding the Fourth Proportional to 20,196.32, 27,866.64 and 12,740

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Solution

The fourth proportional to 20,196.32, 27,866.64 and 12,740 is: 17,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.32 : 27,866.64 = 12,740 : x
  2. Step 2: Convert to fraction form
    20,196.32/27,866.64 = 12,740/x
  3. Step 3: Cross multiply
    20,196.32x = 27,866.64 × 12,740
  4. Step 4: Simplify right side
    20,196.32x = 355,020,993.60
  5. Step 5: Solve for x
    x = 355,020,993.60/20,196.32
  6. Step 6: Final answer
    x = 17,578.50

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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.