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Finding the Fourth Proportional to 17,484.65, 24,137.75 and 11,849.17

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Solution

The fourth proportional to 17,484.65, 24,137.75 and 11,849.17 is: 16,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.65 : 24,137.75 = 11,849.17 : x
  2. Step 2: Convert to fraction form
    17,484.65/24,137.75 = 11,849.17/x
  3. Step 3: Cross multiply
    17,484.65x = 24,137.75 × 11,849.17
  4. Step 4: Simplify right side
    17,484.65x = 286,012,243.92
  5. Step 5: Solve for x
    x = 286,012,243.92/17,484.65
  6. Step 6: Final answer
    x = 16,357.91

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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.