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Finding the Fourth Proportional to 21,574.96, 32,361.52 and 6,783.56

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Solution

The fourth proportional to 21,574.96, 32,361.52 and 6,783.56 is: 10,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.96 : 32,361.52 = 6,783.56 : x
  2. Step 2: Convert to fraction form
    21,574.96/32,361.52 = 6,783.56/x
  3. Step 3: Cross multiply
    21,574.96x = 32,361.52 × 6,783.56
  4. Step 4: Simplify right side
    21,574.96x = 219,526,312.61
  5. Step 5: Solve for x
    x = 219,526,312.61/21,574.96
  6. Step 6: Final answer
    x = 10,175.05

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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.