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Finding the Fourth Proportional to 15,887.91, 23,832.06 and 4,201.02

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Solution

The fourth proportional to 15,887.91, 23,832.06 and 4,201.02 is: 6,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.91 : 23,832.06 = 4,201.02 : x
  2. Step 2: Convert to fraction form
    15,887.91/23,832.06 = 4,201.02/x
  3. Step 3: Cross multiply
    15,887.91x = 23,832.06 × 4,201.02
  4. Step 4: Simplify right side
    15,887.91x = 100,118,960.70
  5. Step 5: Solve for x
    x = 100,118,960.70/15,887.91
  6. Step 6: Final answer
    x = 6,301.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.