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Finding the Fourth Proportional to 14,753.32, 22,109.82 and 7,813.96

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Solution

The fourth proportional to 14,753.32, 22,109.82 and 7,813.96 is: 11,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.32 : 22,109.82 = 7,813.96 : x
  2. Step 2: Convert to fraction form
    14,753.32/22,109.82 = 7,813.96/x
  3. Step 3: Cross multiply
    14,753.32x = 22,109.82 × 7,813.96
  4. Step 4: Simplify right side
    14,753.32x = 172,765,249.09
  5. Step 5: Solve for x
    x = 172,765,249.09/14,753.32
  6. Step 6: Final answer
    x = 11,710.26

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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.