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Finding the Fourth Proportional to 19,776.30, 29,648.19 and 9,241.11

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Solution

The fourth proportional to 19,776.30, 29,648.19 and 9,241.11 is: 13,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.30 : 29,648.19 = 9,241.11 : x
  2. Step 2: Convert to fraction form
    19,776.30/29,648.19 = 9,241.11/x
  3. Step 3: Cross multiply
    19,776.30x = 29,648.19 × 9,241.11
  4. Step 4: Simplify right side
    19,776.30x = 273,982,185.09
  5. Step 5: Solve for x
    x = 273,982,185.09/19,776.30
  6. Step 6: Final answer
    x = 13,854.07

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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.