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Finding the Fourth Proportional to 13,476.77, 20,206.67 and 4,113.68

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Solution

The fourth proportional to 13,476.77, 20,206.67 and 4,113.68 is: 6,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.77 : 20,206.67 = 4,113.68 : x
  2. Step 2: Convert to fraction form
    13,476.77/20,206.67 = 4,113.68/x
  3. Step 3: Cross multiply
    13,476.77x = 20,206.67 × 4,113.68
  4. Step 4: Simplify right side
    13,476.77x = 83,123,673.21
  5. Step 5: Solve for x
    x = 83,123,673.21/13,476.77
  6. Step 6: Final answer
    x = 6,167.92

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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.