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Finding the Fourth Proportional to 13,583.49, 20,345.94 and 11,216.94

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Solution

The fourth proportional to 13,583.49, 20,345.94 and 11,216.94 is: 16,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.49 : 20,345.94 = 11,216.94 : x
  2. Step 2: Convert to fraction form
    13,583.49/20,345.94 = 11,216.94/x
  3. Step 3: Cross multiply
    13,583.49x = 20,345.94 × 11,216.94
  4. Step 4: Simplify right side
    13,583.49x = 228,219,188.22
  5. Step 5: Solve for x
    x = 228,219,188.22/13,583.49
  6. Step 6: Final answer
    x = 16,801.22

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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.