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Finding the Fourth Proportional to 16,184.78, 24,257 and 5,785.10

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Solution

The fourth proportional to 16,184.78, 24,257 and 5,785.10 is: 8,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.78 : 24,257 = 5,785.10 : x
  2. Step 2: Convert to fraction form
    16,184.78/24,257 = 5,785.10/x
  3. Step 3: Cross multiply
    16,184.78x = 24,257 × 5,785.10
  4. Step 4: Simplify right side
    16,184.78x = 140,329,170.70
  5. Step 5: Solve for x
    x = 140,329,170.70/16,184.78
  6. Step 6: Final answer
    x = 8,670.44

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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.