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Finding the Fourth Proportional to 16,856, 25,284.48 and 4,544

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Solution

The fourth proportional to 16,856, 25,284.48 and 4,544 is: 6,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856 : 25,284.48 = 4,544 : x
  2. Step 2: Convert to fraction form
    16,856/25,284.48 = 4,544/x
  3. Step 3: Cross multiply
    16,856x = 25,284.48 × 4,544
  4. Step 4: Simplify right side
    16,856x = 114,892,677.12
  5. Step 5: Solve for x
    x = 114,892,677.12/16,856
  6. Step 6: Final answer
    x = 6,816.13

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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.