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Finding the Fourth Proportional to 13,686.24, 18,883.44 and 8,094.72

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Solution

The fourth proportional to 13,686.24, 18,883.44 and 8,094.72 is: 11,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.24 : 18,883.44 = 8,094.72 : x
  2. Step 2: Convert to fraction form
    13,686.24/18,883.44 = 8,094.72/x
  3. Step 3: Cross multiply
    13,686.24x = 18,883.44 × 8,094.72
  4. Step 4: Simplify right side
    13,686.24x = 152,856,159.44
  5. Step 5: Solve for x
    x = 152,856,159.44/13,686.24
  6. Step 6: Final answer
    x = 11,168.60

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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.