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Finding the Fourth Proportional to 12,015.15, 18,029.18 and 5,000

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Solution

The fourth proportional to 12,015.15, 18,029.18 and 5,000 is: 7,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.15 : 18,029.18 = 5,000 : x
  2. Step 2: Convert to fraction form
    12,015.15/18,029.18 = 5,000/x
  3. Step 3: Cross multiply
    12,015.15x = 18,029.18 × 5,000
  4. Step 4: Simplify right side
    12,015.15x = 90,145,900
  5. Step 5: Solve for x
    x = 90,145,900/12,015.15
  6. Step 6: Final answer
    x = 7,502.69

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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.