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Finding the Fourth Proportional to 19,782.26, 29,685.06 and 7,311.12

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Solution

The fourth proportional to 19,782.26, 29,685.06 and 7,311.12 is: 10,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.26 : 29,685.06 = 7,311.12 : x
  2. Step 2: Convert to fraction form
    19,782.26/29,685.06 = 7,311.12/x
  3. Step 3: Cross multiply
    19,782.26x = 29,685.06 × 7,311.12
  4. Step 4: Simplify right side
    19,782.26x = 217,031,035.87
  5. Step 5: Solve for x
    x = 217,031,035.87/19,782.26
  6. Step 6: Final answer
    x = 10,970.99

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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.