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Finding the Fourth Proportional to 25,652, 38,366.82 and 15,096.86

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Solution

The fourth proportional to 25,652, 38,366.82 and 15,096.86 is: 22,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652 : 38,366.82 = 15,096.86 : x
  2. Step 2: Convert to fraction form
    25,652/38,366.82 = 15,096.86/x
  3. Step 3: Cross multiply
    25,652x = 38,366.82 × 15,096.86
  4. Step 4: Simplify right side
    25,652x = 579,218,510.19
  5. Step 5: Solve for x
    x = 579,218,510.19/25,652
  6. Step 6: Final answer
    x = 22,579.86

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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.