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Finding the Fourth Proportional to 12,983.60, 19,475.04 and 3,749.60

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Solution

The fourth proportional to 12,983.60, 19,475.04 and 3,749.60 is: 5,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.60 : 19,475.04 = 3,749.60 : x
  2. Step 2: Convert to fraction form
    12,983.60/19,475.04 = 3,749.60/x
  3. Step 3: Cross multiply
    12,983.60x = 19,475.04 × 3,749.60
  4. Step 4: Simplify right side
    12,983.60x = 73,023,609.98
  5. Step 5: Solve for x
    x = 73,023,609.98/12,983.60
  6. Step 6: Final answer
    x = 5,624.30

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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.