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Finding the Fourth Proportional to 13,529.61, 18,658.77 and 8,494.30

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Solution

The fourth proportional to 13,529.61, 18,658.77 and 8,494.30 is: 11,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.61 : 18,658.77 = 8,494.30 : x
  2. Step 2: Convert to fraction form
    13,529.61/18,658.77 = 8,494.30/x
  3. Step 3: Cross multiply
    13,529.61x = 18,658.77 × 8,494.30
  4. Step 4: Simplify right side
    13,529.61x = 158,493,054.25
  5. Step 5: Solve for x
    x = 158,493,054.25/13,529.61
  6. Step 6: Final answer
    x = 11,714.53

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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.