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Finding the Fourth Proportional to 30,295.25, 41,809.10 and 16,866.21

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Solution

The fourth proportional to 30,295.25, 41,809.10 and 16,866.21 is: 23,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.25 : 41,809.10 = 16,866.21 : x
  2. Step 2: Convert to fraction form
    30,295.25/41,809.10 = 16,866.21/x
  3. Step 3: Cross multiply
    30,295.25x = 41,809.10 × 16,866.21
  4. Step 4: Simplify right side
    30,295.25x = 705,161,040.10
  5. Step 5: Solve for x
    x = 705,161,040.10/30,295.25
  6. Step 6: Final answer
    x = 23,276.29

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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.