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Finding the Fourth Proportional to 24,541.38, 33,855.71 and 14,462.96

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Solution

The fourth proportional to 24,541.38, 33,855.71 and 14,462.96 is: 19,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541.38 : 33,855.71 = 14,462.96 : x
  2. Step 2: Convert to fraction form
    24,541.38/33,855.71 = 14,462.96/x
  3. Step 3: Cross multiply
    24,541.38x = 33,855.71 × 14,462.96
  4. Step 4: Simplify right side
    24,541.38x = 489,653,537.91
  5. Step 5: Solve for x
    x = 489,653,537.91/24,541.38
  6. Step 6: Final answer
    x = 19,952.16

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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.