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Finding the Fourth Proportional to 22,537.38, 33,756.80 and 11,425

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Solution

The fourth proportional to 22,537.38, 33,756.80 and 11,425 is: 17,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.38 : 33,756.80 = 11,425 : x
  2. Step 2: Convert to fraction form
    22,537.38/33,756.80 = 11,425/x
  3. Step 3: Cross multiply
    22,537.38x = 33,756.80 × 11,425
  4. Step 4: Simplify right side
    22,537.38x = 385,671,440.00
  5. Step 5: Solve for x
    x = 385,671,440.00/22,537.38
  6. Step 6: Final answer
    x = 17,112.52

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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.