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Finding the Fourth Proportional to 13,027.05, 17,971.74 and 8,780.85

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Solution

The fourth proportional to 13,027.05, 17,971.74 and 8,780.85 is: 12,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.05 : 17,971.74 = 8,780.85 : x
  2. Step 2: Convert to fraction form
    13,027.05/17,971.74 = 8,780.85/x
  3. Step 3: Cross multiply
    13,027.05x = 17,971.74 × 8,780.85
  4. Step 4: Simplify right side
    13,027.05x = 157,807,153.18
  5. Step 5: Solve for x
    x = 157,807,153.18/13,027.05
  6. Step 6: Final answer
    x = 12,113.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.