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Finding the Fourth Proportional to 13,082.59, 19,624.79 and 4,323.66

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Solution

The fourth proportional to 13,082.59, 19,624.79 and 4,323.66 is: 6,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.59 : 19,624.79 = 4,323.66 : x
  2. Step 2: Convert to fraction form
    13,082.59/19,624.79 = 4,323.66/x
  3. Step 3: Cross multiply
    13,082.59x = 19,624.79 × 4,323.66
  4. Step 4: Simplify right side
    13,082.59x = 84,850,799.79
  5. Step 5: Solve for x
    x = 84,850,799.79/13,082.59
  6. Step 6: Final answer
    x = 6,485.78

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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.