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Finding the Fourth Proportional to 13,384.56, 20,063.14 and 9,677.59

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Solution

The fourth proportional to 13,384.56, 20,063.14 and 9,677.59 is: 14,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.56 : 20,063.14 = 9,677.59 : x
  2. Step 2: Convert to fraction form
    13,384.56/20,063.14 = 9,677.59/x
  3. Step 3: Cross multiply
    13,384.56x = 20,063.14 × 9,677.59
  4. Step 4: Simplify right side
    13,384.56x = 194,162,843.03
  5. Step 5: Solve for x
    x = 194,162,843.03/13,384.56
  6. Step 6: Final answer
    x = 14,506.48

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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.