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Finding the Fourth Proportional to 24,523, 33,841.74 and 13,345

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Solution

The fourth proportional to 24,523, 33,841.74 and 13,345 is: 18,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523 : 33,841.74 = 13,345 : x
  2. Step 2: Convert to fraction form
    24,523/33,841.74 = 13,345/x
  3. Step 3: Cross multiply
    24,523x = 33,841.74 × 13,345
  4. Step 4: Simplify right side
    24,523x = 451,618,020.30
  5. Step 5: Solve for x
    x = 451,618,020.30/24,523
  6. Step 6: Final answer
    x = 18,416.10

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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.