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Finding the Fourth Proportional to 13,494.02, 18,616.85 and 7,825.64

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Solution

The fourth proportional to 13,494.02, 18,616.85 and 7,825.64 is: 10,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.02 : 18,616.85 = 7,825.64 : x
  2. Step 2: Convert to fraction form
    13,494.02/18,616.85 = 7,825.64/x
  3. Step 3: Cross multiply
    13,494.02x = 18,616.85 × 7,825.64
  4. Step 4: Simplify right side
    13,494.02x = 145,688,633.82
  5. Step 5: Solve for x
    x = 145,688,633.82/13,494.02
  6. Step 6: Final answer
    x = 10,796.54

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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.