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Finding the Fourth Proportional to 30,843.18, 42,564.35 and 17,414.63

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Solution

The fourth proportional to 30,843.18, 42,564.35 and 17,414.63 is: 24,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.18 : 42,564.35 = 17,414.63 : x
  2. Step 2: Convert to fraction form
    30,843.18/42,564.35 = 17,414.63/x
  3. Step 3: Cross multiply
    30,843.18x = 42,564.35 × 17,414.63
  4. Step 4: Simplify right side
    30,843.18x = 741,242,396.77
  5. Step 5: Solve for x
    x = 741,242,396.77/30,843.18
  6. Step 6: Final answer
    x = 24,032.62

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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.