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Finding the Fourth Proportional to 21,716.94, 32,575.32 and 6,134.52

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Solution

The fourth proportional to 21,716.94, 32,575.32 and 6,134.52 is: 9,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.94 : 32,575.32 = 6,134.52 : x
  2. Step 2: Convert to fraction form
    21,716.94/32,575.32 = 6,134.52/x
  3. Step 3: Cross multiply
    21,716.94x = 32,575.32 × 6,134.52
  4. Step 4: Simplify right side
    21,716.94x = 199,833,952.05
  5. Step 5: Solve for x
    x = 199,833,952.05/21,716.94
  6. Step 6: Final answer
    x = 9,201.75

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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.