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Finding the Fourth Proportional to 16,142.46, 24,216 and 7,815.63

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Solution

The fourth proportional to 16,142.46, 24,216 and 7,815.63 is: 11,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.46 : 24,216 = 7,815.63 : x
  2. Step 2: Convert to fraction form
    16,142.46/24,216 = 7,815.63/x
  3. Step 3: Cross multiply
    16,142.46x = 24,216 × 7,815.63
  4. Step 4: Simplify right side
    16,142.46x = 189,263,296.08
  5. Step 5: Solve for x
    x = 189,263,296.08/16,142.46
  6. Step 6: Final answer
    x = 11,724.56

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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.