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Finding the Fourth Proportional to 25,422.72, 38,134.08 and 11,562

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Solution

The fourth proportional to 25,422.72, 38,134.08 and 11,562 is: 17,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422.72 : 38,134.08 = 11,562 : x
  2. Step 2: Convert to fraction form
    25,422.72/38,134.08 = 11,562/x
  3. Step 3: Cross multiply
    25,422.72x = 38,134.08 × 11,562
  4. Step 4: Simplify right side
    25,422.72x = 440,906,232.96
  5. Step 5: Solve for x
    x = 440,906,232.96/25,422.72
  6. Step 6: Final answer
    x = 17,343

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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.