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Finding the Fourth Proportional to 21,770.61, 32,653.50 and 5,976.84

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Solution

The fourth proportional to 21,770.61, 32,653.50 and 5,976.84 is: 8,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.61 : 32,653.50 = 5,976.84 : x
  2. Step 2: Convert to fraction form
    21,770.61/32,653.50 = 5,976.84/x
  3. Step 3: Cross multiply
    21,770.61x = 32,653.50 × 5,976.84
  4. Step 4: Simplify right side
    21,770.61x = 195,164,744.94
  5. Step 5: Solve for x
    x = 195,164,744.94/21,770.61
  6. Step 6: Final answer
    x = 8,964.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.