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Finding the Fourth Proportional to 19,678.40, 29,521.20 and 7,992.80

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Solution

The fourth proportional to 19,678.40, 29,521.20 and 7,992.80 is: 11,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.40 : 29,521.20 = 7,992.80 : x
  2. Step 2: Convert to fraction form
    19,678.40/29,521.20 = 7,992.80/x
  3. Step 3: Cross multiply
    19,678.40x = 29,521.20 × 7,992.80
  4. Step 4: Simplify right side
    19,678.40x = 235,957,047.36
  5. Step 5: Solve for x
    x = 235,957,047.36/19,678.40
  6. Step 6: Final answer
    x = 11,990.66

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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.