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Finding the Fourth Proportional to 28,185.40, 38,894.82 and 16,249.24

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Solution

The fourth proportional to 28,185.40, 38,894.82 and 16,249.24 is: 22,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,185.40 : 38,894.82 = 16,249.24 : x
  2. Step 2: Convert to fraction form
    28,185.40/38,894.82 = 16,249.24/x
  3. Step 3: Cross multiply
    28,185.40x = 38,894.82 × 16,249.24
  4. Step 4: Simplify right side
    28,185.40x = 632,011,264.94
  5. Step 5: Solve for x
    x = 632,011,264.94/28,185.40
  6. Step 6: Final answer
    x = 22,423.36

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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.