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Finding the Fourth Proportional to 14,215.32, 19,612.01 and 8,471.61

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Solution

The fourth proportional to 14,215.32, 19,612.01 and 8,471.61 is: 11,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.32 : 19,612.01 = 8,471.61 : x
  2. Step 2: Convert to fraction form
    14,215.32/19,612.01 = 8,471.61/x
  3. Step 3: Cross multiply
    14,215.32x = 19,612.01 × 8,471.61
  4. Step 4: Simplify right side
    14,215.32x = 166,145,321.22
  5. Step 5: Solve for x
    x = 166,145,321.22/14,215.32
  6. Step 6: Final answer
    x = 11,687.77

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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.