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Finding the Fourth Proportional to 16,143.95, 24,215.00 and 5,049.32

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Solution

The fourth proportional to 16,143.95, 24,215.00 and 5,049.32 is: 7,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.95 : 24,215.00 = 5,049.32 : x
  2. Step 2: Convert to fraction form
    16,143.95/24,215.00 = 5,049.32/x
  3. Step 3: Cross multiply
    16,143.95x = 24,215.00 × 5,049.32
  4. Step 4: Simplify right side
    16,143.95x = 122,269,356.96
  5. Step 5: Solve for x
    x = 122,269,356.96/16,143.95
  6. Step 6: Final answer
    x = 7,573.69

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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.