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Finding the Fourth Proportional to 30,415.68, 41,974.08 and 17,840.64

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Solution

The fourth proportional to 30,415.68, 41,974.08 and 17,840.64 is: 24,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.68 : 41,974.08 = 17,840.64 : x
  2. Step 2: Convert to fraction form
    30,415.68/41,974.08 = 17,840.64/x
  3. Step 3: Cross multiply
    30,415.68x = 41,974.08 × 17,840.64
  4. Step 4: Simplify right side
    30,415.68x = 748,844,450.61
  5. Step 5: Solve for x
    x = 748,844,450.61/30,415.68
  6. Step 6: Final answer
    x = 24,620.34

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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.