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Finding the Fourth Proportional to 27,747, 41,624.64 and 10,215.48

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Solution

The fourth proportional to 27,747, 41,624.64 and 10,215.48 is: 15,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 41,624.64 = 10,215.48 : x
  2. Step 2: Convert to fraction form
    27,747/41,624.64 = 10,215.48/x
  3. Step 3: Cross multiply
    27,747x = 41,624.64 × 10,215.48
  4. Step 4: Simplify right side
    27,747x = 425,215,677.43
  5. Step 5: Solve for x
    x = 425,215,677.43/27,747
  6. Step 6: Final answer
    x = 15,324.74

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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.