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Finding the Fourth Proportional to 13,024.89, 19,537.34 and 8,650.89

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Solution

The fourth proportional to 13,024.89, 19,537.34 and 8,650.89 is: 12,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.89 : 19,537.34 = 8,650.89 : x
  2. Step 2: Convert to fraction form
    13,024.89/19,537.34 = 8,650.89/x
  3. Step 3: Cross multiply
    13,024.89x = 19,537.34 × 8,650.89
  4. Step 4: Simplify right side
    13,024.89x = 169,015,335.98
  5. Step 5: Solve for x
    x = 169,015,335.98/13,024.89
  6. Step 6: Final answer
    x = 12,976.34

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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.