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Finding the Fourth Proportional to 24,392.25, 33,661.44 and 13,214.25

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Solution

The fourth proportional to 24,392.25, 33,661.44 and 13,214.25 is: 18,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.25 : 33,661.44 = 13,214.25 : x
  2. Step 2: Convert to fraction form
    24,392.25/33,661.44 = 13,214.25/x
  3. Step 3: Cross multiply
    24,392.25x = 33,661.44 × 13,214.25
  4. Step 4: Simplify right side
    24,392.25x = 444,810,683.52
  5. Step 5: Solve for x
    x = 444,810,683.52/24,392.25
  6. Step 6: Final answer
    x = 18,235.74

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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.