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Finding the Fourth Proportional to 24,667.72, 37,011.31 and 10,807

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Solution

The fourth proportional to 24,667.72, 37,011.31 and 10,807 is: 16,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.72 : 37,011.31 = 10,807 : x
  2. Step 2: Convert to fraction form
    24,667.72/37,011.31 = 10,807/x
  3. Step 3: Cross multiply
    24,667.72x = 37,011.31 × 10,807
  4. Step 4: Simplify right side
    24,667.72x = 399,981,227.17
  5. Step 5: Solve for x
    x = 399,981,227.17/24,667.72
  6. Step 6: Final answer
    x = 16,214.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.