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Finding the Fourth Proportional to 19,826.78, 29,740.03 and 5,035.50

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Solution

The fourth proportional to 19,826.78, 29,740.03 and 5,035.50 is: 7,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.78 : 29,740.03 = 5,035.50 : x
  2. Step 2: Convert to fraction form
    19,826.78/29,740.03 = 5,035.50/x
  3. Step 3: Cross multiply
    19,826.78x = 29,740.03 × 5,035.50
  4. Step 4: Simplify right side
    19,826.78x = 149,755,908.48
  5. Step 5: Solve for x
    x = 149,755,908.48/19,826.78
  6. Step 6: Final answer
    x = 7,553.22

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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.