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Finding the Fourth Proportional to 19,894.19, 29,822.82 and 6,737.36

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Solution

The fourth proportional to 19,894.19, 29,822.82 and 6,737.36 is: 10,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.19 : 29,822.82 = 6,737.36 : x
  2. Step 2: Convert to fraction form
    19,894.19/29,822.82 = 6,737.36/x
  3. Step 3: Cross multiply
    19,894.19x = 29,822.82 × 6,737.36
  4. Step 4: Simplify right side
    19,894.19x = 200,926,925.44
  5. Step 5: Solve for x
    x = 200,926,925.44/19,894.19
  6. Step 6: Final answer
    x = 10,099.78

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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.