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Finding the Fourth Proportional to 19,540.71, 29,315.12 and 7,853.92

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Solution

The fourth proportional to 19,540.71, 29,315.12 and 7,853.92 is: 11,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.71 : 29,315.12 = 7,853.92 : x
  2. Step 2: Convert to fraction form
    19,540.71/29,315.12 = 7,853.92/x
  3. Step 3: Cross multiply
    19,540.71x = 29,315.12 × 7,853.92
  4. Step 4: Simplify right side
    19,540.71x = 230,238,607.27
  5. Step 5: Solve for x
    x = 230,238,607.27/19,540.71
  6. Step 6: Final answer
    x = 11,782.51

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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.