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Finding the Fourth Proportional to 13,984, 19,297.92 and 7,696.24

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Solution

The fourth proportional to 13,984, 19,297.92 and 7,696.24 is: 10,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 19,297.92 = 7,696.24 : x
  2. Step 2: Convert to fraction form
    13,984/19,297.92 = 7,696.24/x
  3. Step 3: Cross multiply
    13,984x = 19,297.92 × 7,696.24
  4. Step 4: Simplify right side
    13,984x = 148,521,423.82
  5. Step 5: Solve for x
    x = 148,521,423.82/13,984
  6. Step 6: Final answer
    x = 10,620.81

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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.