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Finding the Fourth Proportional to 24,034.28, 36,057.48 and 7,393.64

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Solution

The fourth proportional to 24,034.28, 36,057.48 and 7,393.64 is: 11,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,034.28 : 36,057.48 = 7,393.64 : x
  2. Step 2: Convert to fraction form
    24,034.28/36,057.48 = 7,393.64/x
  3. Step 3: Cross multiply
    24,034.28x = 36,057.48 × 7,393.64
  4. Step 4: Simplify right side
    24,034.28x = 266,596,026.43
  5. Step 5: Solve for x
    x = 266,596,026.43/24,034.28
  6. Step 6: Final answer
    x = 11,092.32

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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.