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Finding the Fourth Proportional to 19,412.83, 29,121.17 and 7,723.31

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Solution

The fourth proportional to 19,412.83, 29,121.17 and 7,723.31 is: 11,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.83 : 29,121.17 = 7,723.31 : x
  2. Step 2: Convert to fraction form
    19,412.83/29,121.17 = 7,723.31/x
  3. Step 3: Cross multiply
    19,412.83x = 29,121.17 × 7,723.31
  4. Step 4: Simplify right side
    19,412.83x = 224,911,823.47
  5. Step 5: Solve for x
    x = 224,911,823.47/19,412.83
  6. Step 6: Final answer
    x = 11,585.73

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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.