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Finding the Fourth Proportional to 13,646.38, 20,476.04 and 4,412.38

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Solution

The fourth proportional to 13,646.38, 20,476.04 and 4,412.38 is: 6,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.38 : 20,476.04 = 4,412.38 : x
  2. Step 2: Convert to fraction form
    13,646.38/20,476.04 = 4,412.38/x
  3. Step 3: Cross multiply
    13,646.38x = 20,476.04 × 4,412.38
  4. Step 4: Simplify right side
    13,646.38x = 90,348,069.38
  5. Step 5: Solve for x
    x = 90,348,069.38/13,646.38
  6. Step 6: Final answer
    x = 6,620.66

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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.