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Finding the Fourth Proportional to 13,101.84, 19,652.58 and 3,867.84

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Solution

The fourth proportional to 13,101.84, 19,652.58 and 3,867.84 is: 5,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.84 : 19,652.58 = 3,867.84 : x
  2. Step 2: Convert to fraction form
    13,101.84/19,652.58 = 3,867.84/x
  3. Step 3: Cross multiply
    13,101.84x = 19,652.58 × 3,867.84
  4. Step 4: Simplify right side
    13,101.84x = 76,013,035.03
  5. Step 5: Solve for x
    x = 76,013,035.03/13,101.84
  6. Step 6: Final answer
    x = 5,801.71

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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.