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Finding the Fourth Proportional to 17,952.72, 24,775.92 and 12,354

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Solution

The fourth proportional to 17,952.72, 24,775.92 and 12,354 is: 17,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952.72 : 24,775.92 = 12,354 : x
  2. Step 2: Convert to fraction form
    17,952.72/24,775.92 = 12,354/x
  3. Step 3: Cross multiply
    17,952.72x = 24,775.92 × 12,354
  4. Step 4: Simplify right side
    17,952.72x = 306,081,715.68
  5. Step 5: Solve for x
    x = 306,081,715.68/17,952.72
  6. Step 6: Final answer
    x = 17,049.32

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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.