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Finding the Fourth Proportional to 15,889.66, 23,834.65 and 4,796.44

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Solution

The fourth proportional to 15,889.66, 23,834.65 and 4,796.44 is: 7,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.66 : 23,834.65 = 4,796.44 : x
  2. Step 2: Convert to fraction form
    15,889.66/23,834.65 = 4,796.44/x
  3. Step 3: Cross multiply
    15,889.66x = 23,834.65 × 4,796.44
  4. Step 4: Simplify right side
    15,889.66x = 114,321,325.49
  5. Step 5: Solve for x
    x = 114,321,325.49/15,889.66
  6. Step 6: Final answer
    x = 7,194.70

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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.