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Finding the Fourth Proportional to 24,873, 34,324.74 and 13,695

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Solution

The fourth proportional to 24,873, 34,324.74 and 13,695 is: 18,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,873 : 34,324.74 = 13,695 : x
  2. Step 2: Convert to fraction form
    24,873/34,324.74 = 13,695/x
  3. Step 3: Cross multiply
    24,873x = 34,324.74 × 13,695
  4. Step 4: Simplify right side
    24,873x = 470,077,314.30
  5. Step 5: Solve for x
    x = 470,077,314.30/24,873
  6. Step 6: Final answer
    x = 18,899.10

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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.