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Finding the Fourth Proportional to 13,473, 18,589.92 and 7,807.44

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Solution

The fourth proportional to 13,473, 18,589.92 and 7,807.44 is: 10,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473 : 18,589.92 = 7,807.44 : x
  2. Step 2: Convert to fraction form
    13,473/18,589.92 = 7,807.44/x
  3. Step 3: Cross multiply
    13,473x = 18,589.92 × 7,807.44
  4. Step 4: Simplify right side
    13,473x = 145,139,685.00
  5. Step 5: Solve for x
    x = 145,139,685.00/13,473
  6. Step 6: Final answer
    x = 10,772.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.