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Finding the Fourth Proportional to 13,384.68, 20,080.08 and 7,141.40

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Solution

The fourth proportional to 13,384.68, 20,080.08 and 7,141.40 is: 10,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.68 : 20,080.08 = 7,141.40 : x
  2. Step 2: Convert to fraction form
    13,384.68/20,080.08 = 7,141.40/x
  3. Step 3: Cross multiply
    13,384.68x = 20,080.08 × 7,141.40
  4. Step 4: Simplify right side
    13,384.68x = 143,399,883.31
  5. Step 5: Solve for x
    x = 143,399,883.31/13,384.68
  6. Step 6: Final answer
    x = 10,713.73

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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.