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Finding the Fourth Proportional to 15,891.76, 23,830.22 and 5,896.10

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Solution

The fourth proportional to 15,891.76, 23,830.22 and 5,896.10 is: 8,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.76 : 23,830.22 = 5,896.10 : x
  2. Step 2: Convert to fraction form
    15,891.76/23,830.22 = 5,896.10/x
  3. Step 3: Cross multiply
    15,891.76x = 23,830.22 × 5,896.10
  4. Step 4: Simplify right side
    15,891.76x = 140,505,360.14
  5. Step 5: Solve for x
    x = 140,505,360.14/15,891.76
  6. Step 6: Final answer
    x = 8,841.40

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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.