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Finding the Fourth Proportional to 22,409.62, 33,606.44 and 7,414

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Solution

The fourth proportional to 22,409.62, 33,606.44 and 7,414 is: 11,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.62 : 33,606.44 = 7,414 : x
  2. Step 2: Convert to fraction form
    22,409.62/33,606.44 = 7,414/x
  3. Step 3: Cross multiply
    22,409.62x = 33,606.44 × 7,414
  4. Step 4: Simplify right side
    22,409.62x = 249,158,146.16
  5. Step 5: Solve for x
    x = 249,158,146.16/22,409.62
  6. Step 6: Final answer
    x = 11,118.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.