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Finding the Fourth Proportional to 19,721.78, 29,566.32 and 7,868.24

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Solution

The fourth proportional to 19,721.78, 29,566.32 and 7,868.24 is: 11,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721.78 : 29,566.32 = 7,868.24 : x
  2. Step 2: Convert to fraction form
    19,721.78/29,566.32 = 7,868.24/x
  3. Step 3: Cross multiply
    19,721.78x = 29,566.32 × 7,868.24
  4. Step 4: Simplify right side
    19,721.78x = 232,634,901.68
  5. Step 5: Solve for x
    x = 232,634,901.68/19,721.78
  6. Step 6: Final answer
    x = 11,795.84

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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.