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Finding the Fourth Proportional to 14,813.16, 22,231.42 and 6,911.64

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Solution

The fourth proportional to 14,813.16, 22,231.42 and 6,911.64 is: 10,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.16 : 22,231.42 = 6,911.64 : x
  2. Step 2: Convert to fraction form
    14,813.16/22,231.42 = 6,911.64/x
  3. Step 3: Cross multiply
    14,813.16x = 22,231.42 × 6,911.64
  4. Step 4: Simplify right side
    14,813.16x = 153,655,571.73
  5. Step 5: Solve for x
    x = 153,655,571.73/14,813.16
  6. Step 6: Final answer
    x = 10,372.91

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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.