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Finding the Fourth Proportional to 30,018.25, 41,425.32 and 16,406.57

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Solution

The fourth proportional to 30,018.25, 41,425.32 and 16,406.57 is: 22,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,018.25 : 41,425.32 = 16,406.57 : x
  2. Step 2: Convert to fraction form
    30,018.25/41,425.32 = 16,406.57/x
  3. Step 3: Cross multiply
    30,018.25x = 41,425.32 × 16,406.57
  4. Step 4: Simplify right side
    30,018.25x = 679,647,299.05
  5. Step 5: Solve for x
    x = 679,647,299.05/30,018.25
  6. Step 6: Final answer
    x = 22,641.14

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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.