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Finding the Fourth Proportional to 22,482.64, 33,705.72 and 20,022.24

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Solution

The fourth proportional to 22,482.64, 33,705.72 and 20,022.24 is: 30,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.64 : 33,705.72 = 20,022.24 : x
  2. Step 2: Convert to fraction form
    22,482.64/33,705.72 = 20,022.24/x
  3. Step 3: Cross multiply
    22,482.64x = 33,705.72 × 20,022.24
  4. Step 4: Simplify right side
    22,482.64x = 674,864,015.21
  5. Step 5: Solve for x
    x = 674,864,015.21/22,482.64
  6. Step 6: Final answer
    x = 30,017.12

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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.