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Finding the Fourth Proportional to 24,054, 36,080.91 and 6,523.80

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Solution

The fourth proportional to 24,054, 36,080.91 and 6,523.80 is: 9,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054 : 36,080.91 = 6,523.80 : x
  2. Step 2: Convert to fraction form
    24,054/36,080.91 = 6,523.80/x
  3. Step 3: Cross multiply
    24,054x = 36,080.91 × 6,523.80
  4. Step 4: Simplify right side
    24,054x = 235,384,640.66
  5. Step 5: Solve for x
    x = 235,384,640.66/24,054
  6. Step 6: Final answer
    x = 9,785.68

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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.