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Finding the Fourth Proportional to 19,431.72, 29,147.58 and 8,331.20

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Solution

The fourth proportional to 19,431.72, 29,147.58 and 8,331.20 is: 12,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.72 : 29,147.58 = 8,331.20 : x
  2. Step 2: Convert to fraction form
    19,431.72/29,147.58 = 8,331.20/x
  3. Step 3: Cross multiply
    19,431.72x = 29,147.58 × 8,331.20
  4. Step 4: Simplify right side
    19,431.72x = 242,834,318.50
  5. Step 5: Solve for x
    x = 242,834,318.50/19,431.72
  6. Step 6: Final answer
    x = 12,496.80

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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.