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Finding the Fourth Proportional to 13,464.63, 20,201.81 and 4,700.84

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Solution

The fourth proportional to 13,464.63, 20,201.81 and 4,700.84 is: 7,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.63 : 20,201.81 = 4,700.84 : x
  2. Step 2: Convert to fraction form
    13,464.63/20,201.81 = 4,700.84/x
  3. Step 3: Cross multiply
    13,464.63x = 20,201.81 × 4,700.84
  4. Step 4: Simplify right side
    13,464.63x = 94,965,352.01
  5. Step 5: Solve for x
    x = 94,965,352.01/13,464.63
  6. Step 6: Final answer
    x = 7,052.95

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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.