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Finding the Fourth Proportional to 14,836.92, 20,473.74 and 8,463.48

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Solution

The fourth proportional to 14,836.92, 20,473.74 and 8,463.48 is: 11,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.92 : 20,473.74 = 8,463.48 : x
  2. Step 2: Convert to fraction form
    14,836.92/20,473.74 = 8,463.48/x
  3. Step 3: Cross multiply
    14,836.92x = 20,473.74 × 8,463.48
  4. Step 4: Simplify right side
    14,836.92x = 173,279,089.02
  5. Step 5: Solve for x
    x = 173,279,089.02/14,836.92
  6. Step 6: Final answer
    x = 11,678.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.