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Finding the Fourth Proportional to 13,202.96, 19,807 and 4,320.76

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Solution

The fourth proportional to 13,202.96, 19,807 and 4,320.76 is: 6,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.96 : 19,807 = 4,320.76 : x
  2. Step 2: Convert to fraction form
    13,202.96/19,807 = 4,320.76/x
  3. Step 3: Cross multiply
    13,202.96x = 19,807 × 4,320.76
  4. Step 4: Simplify right side
    13,202.96x = 85,581,293.32
  5. Step 5: Solve for x
    x = 85,581,293.32/13,202.96
  6. Step 6: Final answer
    x = 6,481.98

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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.