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Finding the Fourth Proportional to 24,181.56, 33,370.80 and 13,570.98

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Solution

The fourth proportional to 24,181.56, 33,370.80 and 13,570.98 is: 18,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.56 : 33,370.80 = 13,570.98 : x
  2. Step 2: Convert to fraction form
    24,181.56/33,370.80 = 13,570.98/x
  3. Step 3: Cross multiply
    24,181.56x = 33,370.80 × 13,570.98
  4. Step 4: Simplify right side
    24,181.56x = 452,874,459.38
  5. Step 5: Solve for x
    x = 452,874,459.38/24,181.56
  6. Step 6: Final answer
    x = 18,728.09

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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.