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Finding the Fourth Proportional to 14,485.92, 21,731.64 and 6,165.76

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Solution

The fourth proportional to 14,485.92, 21,731.64 and 6,165.76 is: 9,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.92 : 21,731.64 = 6,165.76 : x
  2. Step 2: Convert to fraction form
    14,485.92/21,731.64 = 6,165.76/x
  3. Step 3: Cross multiply
    14,485.92x = 21,731.64 × 6,165.76
  4. Step 4: Simplify right side
    14,485.92x = 133,992,076.65
  5. Step 5: Solve for x
    x = 133,992,076.65/14,485.92
  6. Step 6: Final answer
    x = 9,249.81

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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.