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Finding the Fourth Proportional to 13,202.46, 19,806.65 and 4,437.14

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Solution

The fourth proportional to 13,202.46, 19,806.65 and 4,437.14 is: 6,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.46 : 19,806.65 = 4,437.14 : x
  2. Step 2: Convert to fraction form
    13,202.46/19,806.65 = 4,437.14/x
  3. Step 3: Cross multiply
    13,202.46x = 19,806.65 × 4,437.14
  4. Step 4: Simplify right side
    13,202.46x = 87,884,757.76
  5. Step 5: Solve for x
    x = 87,884,757.76/13,202.46
  6. Step 6: Final answer
    x = 6,656.70

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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.