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Finding the Fourth Proportional to 12,117.33, 16,724.88 and 7,405.56

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Solution

The fourth proportional to 12,117.33, 16,724.88 and 7,405.56 is: 10,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.33 : 16,724.88 = 7,405.56 : x
  2. Step 2: Convert to fraction form
    12,117.33/16,724.88 = 7,405.56/x
  3. Step 3: Cross multiply
    12,117.33x = 16,724.88 × 7,405.56
  4. Step 4: Simplify right side
    12,117.33x = 123,857,102.33
  5. Step 5: Solve for x
    x = 123,857,102.33/12,117.33
  6. Step 6: Final answer
    x = 10,221.48

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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.