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Finding the Fourth Proportional to 19,864.69, 29,758.07 and 11,527.21

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Solution

The fourth proportional to 19,864.69, 29,758.07 and 11,527.21 is: 17,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.69 : 29,758.07 = 11,527.21 : x
  2. Step 2: Convert to fraction form
    19,864.69/29,758.07 = 11,527.21/x
  3. Step 3: Cross multiply
    19,864.69x = 29,758.07 × 11,527.21
  4. Step 4: Simplify right side
    19,864.69x = 343,027,523.26
  5. Step 5: Solve for x
    x = 343,027,523.26/19,864.69
  6. Step 6: Final answer
    x = 17,268.20

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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.