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Finding the Fourth Proportional to 28,138.86, 38,830.34 and 16,199.66

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Solution

The fourth proportional to 28,138.86, 38,830.34 and 16,199.66 is: 22,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.86 : 38,830.34 = 16,199.66 : x
  2. Step 2: Convert to fraction form
    28,138.86/38,830.34 = 16,199.66/x
  3. Step 3: Cross multiply
    28,138.86x = 38,830.34 × 16,199.66
  4. Step 4: Simplify right side
    28,138.86x = 629,038,443.26
  5. Step 5: Solve for x
    x = 629,038,443.26/28,138.86
  6. Step 6: Final answer
    x = 22,354.79

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