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Finding the Fourth Proportional to 13,130.48, 19,696.94 and 5,231.09

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Solution

The fourth proportional to 13,130.48, 19,696.94 and 5,231.09 is: 7,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.48 : 19,696.94 = 5,231.09 : x
  2. Step 2: Convert to fraction form
    13,130.48/19,696.94 = 5,231.09/x
  3. Step 3: Cross multiply
    13,130.48x = 19,696.94 × 5,231.09
  4. Step 4: Simplify right side
    13,130.48x = 103,036,341.22
  5. Step 5: Solve for x
    x = 103,036,341.22/13,130.48
  6. Step 6: Final answer
    x = 7,847.11

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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.