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Finding the Fourth Proportional to 13,026.58, 19,548.06 and 8,105.86

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Solution

The fourth proportional to 13,026.58, 19,548.06 and 8,105.86 is: 12,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.58 : 19,548.06 = 8,105.86 : x
  2. Step 2: Convert to fraction form
    13,026.58/19,548.06 = 8,105.86/x
  3. Step 3: Cross multiply
    13,026.58x = 19,548.06 × 8,105.86
  4. Step 4: Simplify right side
    13,026.58x = 158,453,837.63
  5. Step 5: Solve for x
    x = 158,453,837.63/13,026.58
  6. Step 6: Final answer
    x = 12,163.89

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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.