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Finding the Fourth Proportional to 19,773.94, 29,661.28 and 9,241.07

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Solution

The fourth proportional to 19,773.94, 29,661.28 and 9,241.07 is: 13,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.94 : 29,661.28 = 9,241.07 : x
  2. Step 2: Convert to fraction form
    19,773.94/29,661.28 = 9,241.07/x
  3. Step 3: Cross multiply
    19,773.94x = 29,661.28 × 9,241.07
  4. Step 4: Simplify right side
    19,773.94x = 274,101,964.77
  5. Step 5: Solve for x
    x = 274,101,964.77/19,773.94
  6. Step 6: Final answer
    x = 13,861.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.