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Finding the Fourth Proportional to 28,183, 38,883.74 and 16,244.72

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Solution

The fourth proportional to 28,183, 38,883.74 and 16,244.72 is: 22,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183 : 38,883.74 = 16,244.72 : x
  2. Step 2: Convert to fraction form
    28,183/38,883.74 = 16,244.72/x
  3. Step 3: Cross multiply
    28,183x = 38,883.74 × 16,244.72
  4. Step 4: Simplify right side
    28,183x = 631,655,468.85
  5. Step 5: Solve for x
    x = 631,655,468.85/28,183
  6. Step 6: Final answer
    x = 22,412.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.