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Finding the Fourth Proportional to 21,677.80, 32,494.53 and 12,298

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Solution

The fourth proportional to 21,677.80, 32,494.53 and 12,298 is: 18,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.80 : 32,494.53 = 12,298 : x
  2. Step 2: Convert to fraction form
    21,677.80/32,494.53 = 12,298/x
  3. Step 3: Cross multiply
    21,677.80x = 32,494.53 × 12,298
  4. Step 4: Simplify right side
    21,677.80x = 399,617,729.94
  5. Step 5: Solve for x
    x = 399,617,729.94/21,677.80
  6. Step 6: Final answer
    x = 18,434.43

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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.