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Finding the Fourth Proportional to 22,473.14, 31,016.59 and 13,399.65

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Solution

The fourth proportional to 22,473.14, 31,016.59 and 13,399.65 is: 18,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.14 : 31,016.59 = 13,399.65 : x
  2. Step 2: Convert to fraction form
    22,473.14/31,016.59 = 13,399.65/x
  3. Step 3: Cross multiply
    22,473.14x = 31,016.59 × 13,399.65
  4. Step 4: Simplify right side
    22,473.14x = 415,611,416.69
  5. Step 5: Solve for x
    x = 415,611,416.69/22,473.14
  6. Step 6: Final answer
    x = 18,493.70

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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.