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Finding the Fourth Proportional to 22,754.48, 34,074.72 and 14,409.32

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Solution

The fourth proportional to 22,754.48, 34,074.72 and 14,409.32 is: 21,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.48 : 34,074.72 = 14,409.32 : x
  2. Step 2: Convert to fraction form
    22,754.48/34,074.72 = 14,409.32/x
  3. Step 3: Cross multiply
    22,754.48x = 34,074.72 × 14,409.32
  4. Step 4: Simplify right side
    22,754.48x = 490,993,544.39
  5. Step 5: Solve for x
    x = 490,993,544.39/22,754.48
  6. Step 6: Final answer
    x = 21,577.88

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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.