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Finding the Fourth Proportional to 15,889.92, 23,836.02 and 4,203

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Solution

The fourth proportional to 15,889.92, 23,836.02 and 4,203 is: 6,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.92 : 23,836.02 = 4,203 : x
  2. Step 2: Convert to fraction form
    15,889.92/23,836.02 = 4,203/x
  3. Step 3: Cross multiply
    15,889.92x = 23,836.02 × 4,203
  4. Step 4: Simplify right side
    15,889.92x = 100,182,792.06
  5. Step 5: Solve for x
    x = 100,182,792.06/15,889.92
  6. Step 6: Final answer
    x = 6,304.80

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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.