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Finding the Fourth Proportional to 21,169.12, 31,753.44 and 7,317.92

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Solution

The fourth proportional to 21,169.12, 31,753.44 and 7,317.92 is: 10,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.12 : 31,753.44 = 7,317.92 : x
  2. Step 2: Convert to fraction form
    21,169.12/31,753.44 = 7,317.92/x
  3. Step 3: Cross multiply
    21,169.12x = 31,753.44 × 7,317.92
  4. Step 4: Simplify right side
    21,169.12x = 232,369,133.64
  5. Step 5: Solve for x
    x = 232,369,133.64/21,169.12
  6. Step 6: Final answer
    x = 10,976.80

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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.