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Finding the Fourth Proportional to 22,597.36, 33,896.36 and 7,014

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Solution

The fourth proportional to 22,597.36, 33,896.36 and 7,014 is: 10,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.36 : 33,896.36 = 7,014 : x
  2. Step 2: Convert to fraction form
    22,597.36/33,896.36 = 7,014/x
  3. Step 3: Cross multiply
    22,597.36x = 33,896.36 × 7,014
  4. Step 4: Simplify right side
    22,597.36x = 237,749,069.04
  5. Step 5: Solve for x
    x = 237,749,069.04/22,597.36
  6. Step 6: Final answer
    x = 10,521.10

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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.