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Finding the Fourth Proportional to 24,462.94, 33,758.85 and 13,284.94

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Solution

The fourth proportional to 24,462.94, 33,758.85 and 13,284.94 is: 18,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.94 : 33,758.85 = 13,284.94 : x
  2. Step 2: Convert to fraction form
    24,462.94/33,758.85 = 13,284.94/x
  3. Step 3: Cross multiply
    24,462.94x = 33,758.85 × 13,284.94
  4. Step 4: Simplify right side
    24,462.94x = 448,484,262.14
  5. Step 5: Solve for x
    x = 448,484,262.14/24,462.94
  6. Step 6: Final answer
    x = 18,333.21

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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.