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Finding the Fourth Proportional to 28,633.50, 39,514.25 and 16,058.25

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Solution

The fourth proportional to 28,633.50, 39,514.25 and 16,058.25 is: 22,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,633.50 : 39,514.25 = 16,058.25 : x
  2. Step 2: Convert to fraction form
    28,633.50/39,514.25 = 16,058.25/x
  3. Step 3: Cross multiply
    28,633.50x = 39,514.25 × 16,058.25
  4. Step 4: Simplify right side
    28,633.50x = 634,529,745.21
  5. Step 5: Solve for x
    x = 634,529,745.21/28,633.50
  6. Step 6: Final answer
    x = 22,160.40

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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.