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Finding the Fourth Proportional to 19,771.64, 29,654.03 and 9,242.61

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Solution

The fourth proportional to 19,771.64, 29,654.03 and 9,242.61 is: 13,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.64 : 29,654.03 = 9,242.61 : x
  2. Step 2: Convert to fraction form
    19,771.64/29,654.03 = 9,242.61/x
  3. Step 3: Cross multiply
    19,771.64x = 29,654.03 × 9,242.61
  4. Step 4: Simplify right side
    19,771.64x = 274,080,588.01
  5. Step 5: Solve for x
    x = 274,080,588.01/19,771.64
  6. Step 6: Final answer
    x = 13,862.31

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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.