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Finding the Fourth Proportional to 30,596.30, 42,215.70 and 17,841.84

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Solution

The fourth proportional to 30,596.30, 42,215.70 and 17,841.84 is: 24,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.30 : 42,215.70 = 17,841.84 : x
  2. Step 2: Convert to fraction form
    30,596.30/42,215.70 = 17,841.84/x
  3. Step 3: Cross multiply
    30,596.30x = 42,215.70 × 17,841.84
  4. Step 4: Simplify right side
    30,596.30x = 753,205,764.89
  5. Step 5: Solve for x
    x = 753,205,764.89/30,596.30
  6. Step 6: Final answer
    x = 24,617.54

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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.