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Finding the Fourth Proportional to 24,443.64, 33,755.94 and 16,065

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Solution

The fourth proportional to 24,443.64, 33,755.94 and 16,065 is: 22,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.64 : 33,755.94 = 16,065 : x
  2. Step 2: Convert to fraction form
    24,443.64/33,755.94 = 16,065/x
  3. Step 3: Cross multiply
    24,443.64x = 33,755.94 × 16,065
  4. Step 4: Simplify right side
    24,443.64x = 542,289,176.10
  5. Step 5: Solve for x
    x = 542,289,176.10/24,443.64
  6. Step 6: Final answer
    x = 22,185.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.