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Finding the Fourth Proportional to 29,634.66, 40,907.16 and 18,306

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Solution

The fourth proportional to 29,634.66, 40,907.16 and 18,306 is: 25,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634.66 : 40,907.16 = 18,306 : x
  2. Step 2: Convert to fraction form
    29,634.66/40,907.16 = 18,306/x
  3. Step 3: Cross multiply
    29,634.66x = 40,907.16 × 18,306
  4. Step 4: Simplify right side
    29,634.66x = 748,846,470.96
  5. Step 5: Solve for x
    x = 748,846,470.96/29,634.66
  6. Step 6: Final answer
    x = 25,269.28

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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.