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Finding the Fourth Proportional to 15,884.81, 23,828.07 and 4,197.71

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Solution

The fourth proportional to 15,884.81, 23,828.07 and 4,197.71 is: 6,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.81 : 23,828.07 = 4,197.71 : x
  2. Step 2: Convert to fraction form
    15,884.81/23,828.07 = 4,197.71/x
  3. Step 3: Cross multiply
    15,884.81x = 23,828.07 × 4,197.71
  4. Step 4: Simplify right side
    15,884.81x = 100,023,327.72
  5. Step 5: Solve for x
    x = 100,023,327.72/15,884.81
  6. Step 6: Final answer
    x = 6,296.79

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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.