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Finding the Fourth Proportional to 25,608.41, 38,398.74 and 11,552

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Solution

The fourth proportional to 25,608.41, 38,398.74 and 11,552 is: 17,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608.41 : 38,398.74 = 11,552 : x
  2. Step 2: Convert to fraction form
    25,608.41/38,398.74 = 11,552/x
  3. Step 3: Cross multiply
    25,608.41x = 38,398.74 × 11,552
  4. Step 4: Simplify right side
    25,608.41x = 443,582,244.48
  5. Step 5: Solve for x
    x = 443,582,244.48/25,608.41
  6. Step 6: Final answer
    x = 17,321.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.