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Finding the Fourth Proportional to 21,857.32, 32,785.91 and 9,369.24

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Solution

The fourth proportional to 21,857.32, 32,785.91 and 9,369.24 is: 14,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.32 : 32,785.91 = 9,369.24 : x
  2. Step 2: Convert to fraction form
    21,857.32/32,785.91 = 9,369.24/x
  3. Step 3: Cross multiply
    21,857.32x = 32,785.91 × 9,369.24
  4. Step 4: Simplify right side
    21,857.32x = 307,179,059.41
  5. Step 5: Solve for x
    x = 307,179,059.41/21,857.32
  6. Step 6: Final answer
    x = 14,053.83

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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.