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Finding the Fourth Proportional to 21,568.41, 32,354.01 and 6,777.95

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Solution

The fourth proportional to 21,568.41, 32,354.01 and 6,777.95 is: 10,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.41 : 32,354.01 = 6,777.95 : x
  2. Step 2: Convert to fraction form
    21,568.41/32,354.01 = 6,777.95/x
  3. Step 3: Cross multiply
    21,568.41x = 32,354.01 × 6,777.95
  4. Step 4: Simplify right side
    21,568.41x = 219,293,700.31
  5. Step 5: Solve for x
    x = 219,293,700.31/21,568.41
  6. Step 6: Final answer
    x = 10,167.36

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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.