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Finding the Fourth Proportional to 22,292, 33,453.36 and 7,700

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Solution

The fourth proportional to 22,292, 33,453.36 and 7,700 is: 11,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292 : 33,453.36 = 7,700 : x
  2. Step 2: Convert to fraction form
    22,292/33,453.36 = 7,700/x
  3. Step 3: Cross multiply
    22,292x = 33,453.36 × 7,700
  4. Step 4: Simplify right side
    22,292x = 257,590,872
  5. Step 5: Solve for x
    x = 257,590,872/22,292
  6. Step 6: Final answer
    x = 11,555.31

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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.