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Finding the Fourth Proportional to 21,505.75, 32,253.15 and 6,716.16

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Solution

The fourth proportional to 21,505.75, 32,253.15 and 6,716.16 is: 10,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.75 : 32,253.15 = 6,716.16 : x
  2. Step 2: Convert to fraction form
    21,505.75/32,253.15 = 6,716.16/x
  3. Step 3: Cross multiply
    21,505.75x = 32,253.15 × 6,716.16
  4. Step 4: Simplify right side
    21,505.75x = 216,617,315.90
  5. Step 5: Solve for x
    x = 216,617,315.90/21,505.75
  6. Step 6: Final answer
    x = 10,072.53

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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.