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Finding the Fourth Proportional to 24,083.98, 33,234.71 and 13,328.64

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Solution

The fourth proportional to 24,083.98, 33,234.71 and 13,328.64 is: 18,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.98 : 33,234.71 = 13,328.64 : x
  2. Step 2: Convert to fraction form
    24,083.98/33,234.71 = 13,328.64/x
  3. Step 3: Cross multiply
    24,083.98x = 33,234.71 × 13,328.64
  4. Step 4: Simplify right side
    24,083.98x = 442,973,418.45
  5. Step 5: Solve for x
    x = 442,973,418.45/24,083.98
  6. Step 6: Final answer
    x = 18,392.87

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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.