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Finding the Fourth Proportional to 12,652.21, 17,464.71 and 7,616.67

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Solution

The fourth proportional to 12,652.21, 17,464.71 and 7,616.67 is: 10,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.21 : 17,464.71 = 7,616.67 : x
  2. Step 2: Convert to fraction form
    12,652.21/17,464.71 = 7,616.67/x
  3. Step 3: Cross multiply
    12,652.21x = 17,464.71 × 7,616.67
  4. Step 4: Simplify right side
    12,652.21x = 133,022,932.72
  5. Step 5: Solve for x
    x = 133,022,932.72/12,652.21
  6. Step 6: Final answer
    x = 10,513.81

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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.