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Finding the Fourth Proportional to 12,506.31, 18,737.82 and 6,574.37

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Solution

The fourth proportional to 12,506.31, 18,737.82 and 6,574.37 is: 9,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.31 : 18,737.82 = 6,574.37 : x
  2. Step 2: Convert to fraction form
    12,506.31/18,737.82 = 6,574.37/x
  3. Step 3: Cross multiply
    12,506.31x = 18,737.82 × 6,574.37
  4. Step 4: Simplify right side
    12,506.31x = 123,189,267.98
  5. Step 5: Solve for x
    x = 123,189,267.98/12,506.31
  6. Step 6: Final answer
    x = 9,850.17

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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.