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Finding the Fourth Proportional to 13,084.12, 19,614.03 and 4,317.09

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Solution

The fourth proportional to 13,084.12, 19,614.03 and 4,317.09 is: 6,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.12 : 19,614.03 = 4,317.09 : x
  2. Step 2: Convert to fraction form
    13,084.12/19,614.03 = 4,317.09/x
  3. Step 3: Cross multiply
    13,084.12x = 19,614.03 × 4,317.09
  4. Step 4: Simplify right side
    13,084.12x = 84,675,532.77
  5. Step 5: Solve for x
    x = 84,675,532.77/13,084.12
  6. Step 6: Final answer
    x = 6,471.63

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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.