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Finding the Fourth Proportional to 29,698.38, 40,968.24 and 18,364.26

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Solution

The fourth proportional to 29,698.38, 40,968.24 and 18,364.26 is: 25,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.38 : 40,968.24 = 18,364.26 : x
  2. Step 2: Convert to fraction form
    29,698.38/40,968.24 = 18,364.26/x
  3. Step 3: Cross multiply
    29,698.38x = 40,968.24 × 18,364.26
  4. Step 4: Simplify right side
    29,698.38x = 752,351,411.10
  5. Step 5: Solve for x
    x = 752,351,411.10/29,698.38
  6. Step 6: Final answer
    x = 25,333.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.