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Finding the Fourth Proportional to 19,521.74, 29,288.07 and 7,843.16

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Solution

The fourth proportional to 19,521.74, 29,288.07 and 7,843.16 is: 11,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521.74 : 29,288.07 = 7,843.16 : x
  2. Step 2: Convert to fraction form
    19,521.74/29,288.07 = 7,843.16/x
  3. Step 3: Cross multiply
    19,521.74x = 29,288.07 × 7,843.16
  4. Step 4: Simplify right side
    19,521.74x = 229,710,872.66
  5. Step 5: Solve for x
    x = 229,710,872.66/19,521.74
  6. Step 6: Final answer
    x = 11,766.93

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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.