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Finding the Fourth Proportional to 19,773.84, 29,652.11 and 5,919.60

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Solution

The fourth proportional to 19,773.84, 29,652.11 and 5,919.60 is: 8,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.84 : 29,652.11 = 5,919.60 : x
  2. Step 2: Convert to fraction form
    19,773.84/29,652.11 = 5,919.60/x
  3. Step 3: Cross multiply
    19,773.84x = 29,652.11 × 5,919.60
  4. Step 4: Simplify right side
    19,773.84x = 175,528,630.36
  5. Step 5: Solve for x
    x = 175,528,630.36/19,773.84
  6. Step 6: Final answer
    x = 8,876.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.