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Finding the Fourth Proportional to 22,370.70, 33,557.43 and 9,218.64

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Solution

The fourth proportional to 22,370.70, 33,557.43 and 9,218.64 is: 13,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370.70 : 33,557.43 = 9,218.64 : x
  2. Step 2: Convert to fraction form
    22,370.70/33,557.43 = 9,218.64/x
  3. Step 3: Cross multiply
    22,370.70x = 33,557.43 × 9,218.64
  4. Step 4: Simplify right side
    22,370.70x = 309,353,866.50
  5. Step 5: Solve for x
    x = 309,353,866.50/22,370.70
  6. Step 6: Final answer
    x = 13,828.53

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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.