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Finding the Fourth Proportional to 24,843.98, 34,283.16 and 13,513.38

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Solution

The fourth proportional to 24,843.98, 34,283.16 and 13,513.38 is: 18,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.98 : 34,283.16 = 13,513.38 : x
  2. Step 2: Convert to fraction form
    24,843.98/34,283.16 = 13,513.38/x
  3. Step 3: Cross multiply
    24,843.98x = 34,283.16 × 13,513.38
  4. Step 4: Simplify right side
    24,843.98x = 463,281,451.96
  5. Step 5: Solve for x
    x = 463,281,451.96/24,843.98
  6. Step 6: Final answer
    x = 18,647.64

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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.