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Finding the Fourth Proportional to 19,957.24, 29,934.24 and 7,786.72

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Solution

The fourth proportional to 19,957.24, 29,934.24 and 7,786.72 is: 11,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.24 : 29,934.24 = 7,786.72 : x
  2. Step 2: Convert to fraction form
    19,957.24/29,934.24 = 7,786.72/x
  3. Step 3: Cross multiply
    19,957.24x = 29,934.24 × 7,786.72
  4. Step 4: Simplify right side
    19,957.24x = 233,089,545.29
  5. Step 5: Solve for x
    x = 233,089,545.29/19,957.24
  6. Step 6: Final answer
    x = 11,679.45

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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.