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Finding the Fourth Proportional to 13,521.78, 18,656.72 and 8,216.28

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Solution

The fourth proportional to 13,521.78, 18,656.72 and 8,216.28 is: 11,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.78 : 18,656.72 = 8,216.28 : x
  2. Step 2: Convert to fraction form
    13,521.78/18,656.72 = 8,216.28/x
  3. Step 3: Cross multiply
    13,521.78x = 18,656.72 × 8,216.28
  4. Step 4: Simplify right side
    13,521.78x = 153,288,835.40
  5. Step 5: Solve for x
    x = 153,288,835.40/13,521.78
  6. Step 6: Final answer
    x = 11,336.44

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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.