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Finding the Fourth Proportional to 15,886.67, 23,824.26 and 4,789.90

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Solution

The fourth proportional to 15,886.67, 23,824.26 and 4,789.90 is: 7,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.67 : 23,824.26 = 4,789.90 : x
  2. Step 2: Convert to fraction form
    15,886.67/23,824.26 = 4,789.90/x
  3. Step 3: Cross multiply
    15,886.67x = 23,824.26 × 4,789.90
  4. Step 4: Simplify right side
    15,886.67x = 114,115,852.75
  5. Step 5: Solve for x
    x = 114,115,852.75/15,886.67
  6. Step 6: Final answer
    x = 7,183.12

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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.