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Finding the Fourth Proportional to 22,950.72, 31,678.47 and 13,524.75

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Solution

The fourth proportional to 22,950.72, 31,678.47 and 13,524.75 is: 18,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.72 : 31,678.47 = 13,524.75 : x
  2. Step 2: Convert to fraction form
    22,950.72/31,678.47 = 13,524.75/x
  3. Step 3: Cross multiply
    22,950.72x = 31,678.47 × 13,524.75
  4. Step 4: Simplify right side
    22,950.72x = 428,443,387.13
  5. Step 5: Solve for x
    x = 428,443,387.13/22,950.72
  6. Step 6: Final answer
    x = 18,667.97

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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.