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Finding the Fourth Proportional to 13,635.84, 20,429.04 and 6,246.48

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Solution

The fourth proportional to 13,635.84, 20,429.04 and 6,246.48 is: 9,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.84 : 20,429.04 = 6,246.48 : x
  2. Step 2: Convert to fraction form
    13,635.84/20,429.04 = 6,246.48/x
  3. Step 3: Cross multiply
    13,635.84x = 20,429.04 × 6,246.48
  4. Step 4: Simplify right side
    13,635.84x = 127,609,589.78
  5. Step 5: Solve for x
    x = 127,609,589.78/13,635.84
  6. Step 6: Final answer
    x = 9,358.40

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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.