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Finding the Fourth Proportional to 24,284.81, 33,513.04 and 13,674.22

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Solution

The fourth proportional to 24,284.81, 33,513.04 and 13,674.22 is: 18,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.81 : 33,513.04 = 13,674.22 : x
  2. Step 2: Convert to fraction form
    24,284.81/33,513.04 = 13,674.22/x
  3. Step 3: Cross multiply
    24,284.81x = 33,513.04 × 13,674.22
  4. Step 4: Simplify right side
    24,284.81x = 458,264,615.14
  5. Step 5: Solve for x
    x = 458,264,615.14/24,284.81
  6. Step 6: Final answer
    x = 18,870.42

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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.