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Finding the Fourth Proportional to 13,984.16, 19,297.92 and 7,696.80

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Solution

The fourth proportional to 13,984.16, 19,297.92 and 7,696.80 is: 10,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.16 : 19,297.92 = 7,696.80 : x
  2. Step 2: Convert to fraction form
    13,984.16/19,297.92 = 7,696.80/x
  3. Step 3: Cross multiply
    13,984.16x = 19,297.92 × 7,696.80
  4. Step 4: Simplify right side
    13,984.16x = 148,532,230.66
  5. Step 5: Solve for x
    x = 148,532,230.66/13,984.16
  6. Step 6: Final answer
    x = 10,621.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.