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Finding the Fourth Proportional to 13,535.84, 20,298.08 and 4,768.64

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Solution

The fourth proportional to 13,535.84, 20,298.08 and 4,768.64 is: 7,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.84 : 20,298.08 = 4,768.64 : x
  2. Step 2: Convert to fraction form
    13,535.84/20,298.08 = 4,768.64/x
  3. Step 3: Cross multiply
    13,535.84x = 20,298.08 × 4,768.64
  4. Step 4: Simplify right side
    13,535.84x = 96,794,236.21
  5. Step 5: Solve for x
    x = 96,794,236.21/13,535.84
  6. Step 6: Final answer
    x = 7,150.96

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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.