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Finding the Fourth Proportional to 21,975.87, 32,965.34 and 8,828.24

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Solution

The fourth proportional to 21,975.87, 32,965.34 and 8,828.24 is: 13,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.87 : 32,965.34 = 8,828.24 : x
  2. Step 2: Convert to fraction form
    21,975.87/32,965.34 = 8,828.24/x
  3. Step 3: Cross multiply
    21,975.87x = 32,965.34 × 8,828.24
  4. Step 4: Simplify right side
    21,975.87x = 291,025,724.23
  5. Step 5: Solve for x
    x = 291,025,724.23/21,975.87
  6. Step 6: Final answer
    x = 13,242.96

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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.