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Finding the Fourth Proportional to 13,094.15, 19,644.66 and 8,416.49

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Solution

The fourth proportional to 13,094.15, 19,644.66 and 8,416.49 is: 12,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.15 : 19,644.66 = 8,416.49 : x
  2. Step 2: Convert to fraction form
    13,094.15/19,644.66 = 8,416.49/x
  3. Step 3: Cross multiply
    13,094.15x = 19,644.66 × 8,416.49
  4. Step 4: Simplify right side
    13,094.15x = 165,338,986.22
  5. Step 5: Solve for x
    x = 165,338,986.22/13,094.15
  6. Step 6: Final answer
    x = 12,626.94

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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.