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Finding the Fourth Proportional to 16,027.89, 23,999.84 and 10,465.62

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Solution

The fourth proportional to 16,027.89, 23,999.84 and 10,465.62 is: 15,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.89 : 23,999.84 = 10,465.62 : x
  2. Step 2: Convert to fraction form
    16,027.89/23,999.84 = 10,465.62/x
  3. Step 3: Cross multiply
    16,027.89x = 23,999.84 × 10,465.62
  4. Step 4: Simplify right side
    16,027.89x = 251,173,205.50
  5. Step 5: Solve for x
    x = 251,173,205.50/16,027.89
  6. Step 6: Final answer
    x = 15,671.01

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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.