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Finding the Fourth Proportional to 25,301, 37,956.36 and 11,450

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Solution

The fourth proportional to 25,301, 37,956.36 and 11,450 is: 17,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301 : 37,956.36 = 11,450 : x
  2. Step 2: Convert to fraction form
    25,301/37,956.36 = 11,450/x
  3. Step 3: Cross multiply
    25,301x = 37,956.36 × 11,450
  4. Step 4: Simplify right side
    25,301x = 434,600,322
  5. Step 5: Solve for x
    x = 434,600,322/25,301
  6. Step 6: Final answer
    x = 17,177.20

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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.