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Finding the Fourth Proportional to 19,951.09, 29,924.20 and 5,158.77

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Solution

The fourth proportional to 19,951.09, 29,924.20 and 5,158.77 is: 7,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.09 : 29,924.20 = 5,158.77 : x
  2. Step 2: Convert to fraction form
    19,951.09/29,924.20 = 5,158.77/x
  3. Step 3: Cross multiply
    19,951.09x = 29,924.20 × 5,158.77
  4. Step 4: Simplify right side
    19,951.09x = 154,372,065.23
  5. Step 5: Solve for x
    x = 154,372,065.23/19,951.09
  6. Step 6: Final answer
    x = 7,737.53

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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.