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Finding the Fourth Proportional to 30,011.36, 41,414.64 and 17,434.40

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Solution

The fourth proportional to 30,011.36, 41,414.64 and 17,434.40 is: 24,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.36 : 41,414.64 = 17,434.40 : x
  2. Step 2: Convert to fraction form
    30,011.36/41,414.64 = 17,434.40/x
  3. Step 3: Cross multiply
    30,011.36x = 41,414.64 × 17,434.40
  4. Step 4: Simplify right side
    30,011.36x = 722,039,399.62
  5. Step 5: Solve for x
    x = 722,039,399.62/30,011.36
  6. Step 6: Final answer
    x = 24,058.87

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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.