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Finding the Fourth Proportional to 19,782.72, 29,663.82 and 8,684.37

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Solution

The fourth proportional to 19,782.72, 29,663.82 and 8,684.37 is: 13,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.72 : 29,663.82 = 8,684.37 : x
  2. Step 2: Convert to fraction form
    19,782.72/29,663.82 = 8,684.37/x
  3. Step 3: Cross multiply
    19,782.72x = 29,663.82 × 8,684.37
  4. Step 4: Simplify right side
    19,782.72x = 257,611,588.49
  5. Step 5: Solve for x
    x = 257,611,588.49/19,782.72
  6. Step 6: Final answer
    x = 13,022.05

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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.