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Finding the Fourth Proportional to 22,672.64, 34,010.04 and 6,034.16

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Solution

The fourth proportional to 22,672.64, 34,010.04 and 6,034.16 is: 9,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.64 : 34,010.04 = 6,034.16 : x
  2. Step 2: Convert to fraction form
    22,672.64/34,010.04 = 6,034.16/x
  3. Step 3: Cross multiply
    22,672.64x = 34,010.04 × 6,034.16
  4. Step 4: Simplify right side
    22,672.64x = 205,222,022.97
  5. Step 5: Solve for x
    x = 205,222,022.97/22,672.64
  6. Step 6: Final answer
    x = 9,051.53

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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.