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Finding the Fourth Proportional to 19,794.88, 29,692.80 and 5,944

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Solution

The fourth proportional to 19,794.88, 29,692.80 and 5,944 is: 8,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.88 : 29,692.80 = 5,944 : x
  2. Step 2: Convert to fraction form
    19,794.88/29,692.80 = 5,944/x
  3. Step 3: Cross multiply
    19,794.88x = 29,692.80 × 5,944
  4. Step 4: Simplify right side
    19,794.88x = 176,494,003.20
  5. Step 5: Solve for x
    x = 176,494,003.20/19,794.88
  6. Step 6: Final answer
    x = 8,916.14

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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.