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Finding the Fourth Proportional to 22,528, 33,792.12 and 6,112

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Solution

The fourth proportional to 22,528, 33,792.12 and 6,112 is: 9,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,528 : 33,792.12 = 6,112 : x
  2. Step 2: Convert to fraction form
    22,528/33,792.12 = 6,112/x
  3. Step 3: Cross multiply
    22,528x = 33,792.12 × 6,112
  4. Step 4: Simplify right side
    22,528x = 206,537,437.44
  5. Step 5: Solve for x
    x = 206,537,437.44/22,528
  6. Step 6: Final answer
    x = 9,168.03

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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.