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Finding the Fourth Proportional to 21,574.85, 32,361.35 and 6,783.44

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Solution

The fourth proportional to 21,574.85, 32,361.35 and 6,783.44 is: 10,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.85 : 32,361.35 = 6,783.44 : x
  2. Step 2: Convert to fraction form
    21,574.85/32,361.35 = 6,783.44/x
  3. Step 3: Cross multiply
    21,574.85x = 32,361.35 × 6,783.44
  4. Step 4: Simplify right side
    21,574.85x = 219,521,080.32
  5. Step 5: Solve for x
    x = 219,521,080.32/21,574.85
  6. Step 6: Final answer
    x = 10,174.86

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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.