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Finding the Fourth Proportional to 12,118.57, 16,723.82 and 7,338.65

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Solution

The fourth proportional to 12,118.57, 16,723.82 and 7,338.65 is: 10,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.57 : 16,723.82 = 7,338.65 : x
  2. Step 2: Convert to fraction form
    12,118.57/16,723.82 = 7,338.65/x
  3. Step 3: Cross multiply
    12,118.57x = 16,723.82 × 7,338.65
  4. Step 4: Simplify right side
    12,118.57x = 122,730,261.64
  5. Step 5: Solve for x
    x = 122,730,261.64/12,118.57
  6. Step 6: Final answer
    x = 10,127.46

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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.