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Finding the Fourth Proportional to 19,943.01, 29,914.65 and 9,523.17

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Solution

The fourth proportional to 19,943.01, 29,914.65 and 9,523.17 is: 14,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,943.01 : 29,914.65 = 9,523.17 : x
  2. Step 2: Convert to fraction form
    19,943.01/29,914.65 = 9,523.17/x
  3. Step 3: Cross multiply
    19,943.01x = 29,914.65 × 9,523.17
  4. Step 4: Simplify right side
    19,943.01x = 284,882,297.44
  5. Step 5: Solve for x
    x = 284,882,297.44/19,943.01
  6. Step 6: Final answer
    x = 14,284.82

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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.