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Finding the Fourth Proportional to 13,129.98, 19,696.18 and 5,230.59

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Solution

The fourth proportional to 13,129.98, 19,696.18 and 5,230.59 is: 7,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.98 : 19,696.18 = 5,230.59 : x
  2. Step 2: Convert to fraction form
    13,129.98/19,696.18 = 5,230.59/x
  3. Step 3: Cross multiply
    13,129.98x = 19,696.18 × 5,230.59
  4. Step 4: Simplify right side
    13,129.98x = 103,022,642.15
  5. Step 5: Solve for x
    x = 103,022,642.15/13,129.98
  6. Step 6: Final answer
    x = 7,846.37

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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.