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Finding the Fourth Proportional to 22,578.37, 33,851.14 and 9,434.50

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Solution

The fourth proportional to 22,578.37, 33,851.14 and 9,434.50 is: 14,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.37 : 33,851.14 = 9,434.50 : x
  2. Step 2: Convert to fraction form
    22,578.37/33,851.14 = 9,434.50/x
  3. Step 3: Cross multiply
    22,578.37x = 33,851.14 × 9,434.50
  4. Step 4: Simplify right side
    22,578.37x = 319,368,580.33
  5. Step 5: Solve for x
    x = 319,368,580.33/22,578.37
  6. Step 6: Final answer
    x = 14,144.89

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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.