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Finding the Fourth Proportional to 30,644.36, 42,282.62 and 17,891.74

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Solution

The fourth proportional to 30,644.36, 42,282.62 and 17,891.74 is: 24,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.36 : 42,282.62 = 17,891.74 : x
  2. Step 2: Convert to fraction form
    30,644.36/42,282.62 = 17,891.74/x
  3. Step 3: Cross multiply
    30,644.36x = 42,282.62 × 17,891.74
  4. Step 4: Simplify right side
    30,644.36x = 756,509,432.15
  5. Step 5: Solve for x
    x = 756,509,432.15/30,644.36
  6. Step 6: Final answer
    x = 24,686.75

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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.