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Finding the Fourth Proportional to 28,184, 38,893.84 and 16,247.24

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Solution

The fourth proportional to 28,184, 38,893.84 and 16,247.24 is: 22,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184 : 38,893.84 = 16,247.24 : x
  2. Step 2: Convert to fraction form
    28,184/38,893.84 = 16,247.24/x
  3. Step 3: Cross multiply
    28,184x = 38,893.84 × 16,247.24
  4. Step 4: Simplify right side
    28,184x = 631,917,553.00
  5. Step 5: Solve for x
    x = 631,917,553.00/28,184
  6. Step 6: Final answer
    x = 22,421.15

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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.