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Finding the Fourth Proportional to 19,811.12, 29,743.07 and 11,497.10

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Solution

The fourth proportional to 19,811.12, 29,743.07 and 11,497.10 is: 17,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.12 : 29,743.07 = 11,497.10 : x
  2. Step 2: Convert to fraction form
    19,811.12/29,743.07 = 11,497.10/x
  3. Step 3: Cross multiply
    19,811.12x = 29,743.07 × 11,497.10
  4. Step 4: Simplify right side
    19,811.12x = 341,959,150.03
  5. Step 5: Solve for x
    x = 341,959,150.03/19,811.12
  6. Step 6: Final answer
    x = 17,260.97

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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.