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Finding the Fourth Proportional to 13,618.60, 18,794.34 and 7,649.96

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Solution

The fourth proportional to 13,618.60, 18,794.34 and 7,649.96 is: 10,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.60 : 18,794.34 = 7,649.96 : x
  2. Step 2: Convert to fraction form
    13,618.60/18,794.34 = 7,649.96/x
  3. Step 3: Cross multiply
    13,618.60x = 18,794.34 × 7,649.96
  4. Step 4: Simplify right side
    13,618.60x = 143,775,949.23
  5. Step 5: Solve for x
    x = 143,775,949.23/13,618.60
  6. Step 6: Final answer
    x = 10,557.32

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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.