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Finding the Fourth Proportional to 13,019.20, 19,528.80 and 3,659.20

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Solution

The fourth proportional to 13,019.20, 19,528.80 and 3,659.20 is: 5,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.20 : 19,528.80 = 3,659.20 : x
  2. Step 2: Convert to fraction form
    13,019.20/19,528.80 = 3,659.20/x
  3. Step 3: Cross multiply
    13,019.20x = 19,528.80 × 3,659.20
  4. Step 4: Simplify right side
    13,019.20x = 71,459,784.96
  5. Step 5: Solve for x
    x = 71,459,784.96/13,019.20
  6. Step 6: Final answer
    x = 5,488.80

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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.