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Finding the Fourth Proportional to 19,828.50, 29,747.70 and 5,977.50

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Solution

The fourth proportional to 19,828.50, 29,747.70 and 5,977.50 is: 8,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.50 : 29,747.70 = 5,977.50 : x
  2. Step 2: Convert to fraction form
    19,828.50/29,747.70 = 5,977.50/x
  3. Step 3: Cross multiply
    19,828.50x = 29,747.70 × 5,977.50
  4. Step 4: Simplify right side
    19,828.50x = 177,816,876.75
  5. Step 5: Solve for x
    x = 177,816,876.75/19,828.50
  6. Step 6: Final answer
    x = 8,967.74

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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.