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Finding the Fourth Proportional to 30,121.78, 41,567.57 and 16,693

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Solution

The fourth proportional to 30,121.78, 41,567.57 and 16,693 is: 23,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121.78 : 41,567.57 = 16,693 : x
  2. Step 2: Convert to fraction form
    30,121.78/41,567.57 = 16,693/x
  3. Step 3: Cross multiply
    30,121.78x = 41,567.57 × 16,693
  4. Step 4: Simplify right side
    30,121.78x = 693,887,446.01
  5. Step 5: Solve for x
    x = 693,887,446.01/30,121.78
  6. Step 6: Final answer
    x = 23,036.07

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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.