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Finding the Fourth Proportional to 21,878.20, 32,817.30 and 19,574.20

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Solution

The fourth proportional to 21,878.20, 32,817.30 and 19,574.20 is: 29,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.20 : 32,817.30 = 19,574.20 : x
  2. Step 2: Convert to fraction form
    21,878.20/32,817.30 = 19,574.20/x
  3. Step 3: Cross multiply
    21,878.20x = 32,817.30 × 19,574.20
  4. Step 4: Simplify right side
    21,878.20x = 642,372,393.66
  5. Step 5: Solve for x
    x = 642,372,393.66/21,878.20
  6. Step 6: Final answer
    x = 29,361.30

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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.