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Finding the Fourth Proportional to 30,021.70, 41,427.07 and 16,590.78

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Solution

The fourth proportional to 30,021.70, 41,427.07 and 16,590.78 is: 22,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021.70 : 41,427.07 = 16,590.78 : x
  2. Step 2: Convert to fraction form
    30,021.70/41,427.07 = 16,590.78/x
  3. Step 3: Cross multiply
    30,021.70x = 41,427.07 × 16,590.78
  4. Step 4: Simplify right side
    30,021.70x = 687,307,404.41
  5. Step 5: Solve for x
    x = 687,307,404.41/30,021.70
  6. Step 6: Final answer
    x = 22,893.69

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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.