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Finding the Fourth Proportional to 19,744.27, 29,599.75 and 9,208.74

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Solution

The fourth proportional to 19,744.27, 29,599.75 and 9,208.74 is: 13,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.27 : 29,599.75 = 9,208.74 : x
  2. Step 2: Convert to fraction form
    19,744.27/29,599.75 = 9,208.74/x
  3. Step 3: Cross multiply
    19,744.27x = 29,599.75 × 9,208.74
  4. Step 4: Simplify right side
    19,744.27x = 272,576,318.77
  5. Step 5: Solve for x
    x = 272,576,318.77/19,744.27
  6. Step 6: Final answer
    x = 13,805.34

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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.