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Finding the Fourth Proportional to 22,497.68, 31,036.48 and 13,064.42

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Solution

The fourth proportional to 22,497.68, 31,036.48 and 13,064.42 is: 18,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.68 : 31,036.48 = 13,064.42 : x
  2. Step 2: Convert to fraction form
    22,497.68/31,036.48 = 13,064.42/x
  3. Step 3: Cross multiply
    22,497.68x = 31,036.48 × 13,064.42
  4. Step 4: Simplify right side
    22,497.68x = 405,473,654.97
  5. Step 5: Solve for x
    x = 405,473,654.97/22,497.68
  6. Step 6: Final answer
    x = 18,022.91

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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.