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Finding the Fourth Proportional to 13,225.26, 19,811.97 and 5,812.14

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Solution

The fourth proportional to 13,225.26, 19,811.97 and 5,812.14 is: 8,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.26 : 19,811.97 = 5,812.14 : x
  2. Step 2: Convert to fraction form
    13,225.26/19,811.97 = 5,812.14/x
  3. Step 3: Cross multiply
    13,225.26x = 19,811.97 × 5,812.14
  4. Step 4: Simplify right side
    13,225.26x = 115,149,943.32
  5. Step 5: Solve for x
    x = 115,149,943.32/13,225.26
  6. Step 6: Final answer
    x = 8,706.82

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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.