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Finding the Fourth Proportional to 22,544.64, 33,816.96 and 10,224

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Solution

The fourth proportional to 22,544.64, 33,816.96 and 10,224 is: 15,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.64 : 33,816.96 = 10,224 : x
  2. Step 2: Convert to fraction form
    22,544.64/33,816.96 = 10,224/x
  3. Step 3: Cross multiply
    22,544.64x = 33,816.96 × 10,224
  4. Step 4: Simplify right side
    22,544.64x = 345,744,599.04
  5. Step 5: Solve for x
    x = 345,744,599.04/22,544.64
  6. Step 6: Final answer
    x = 15,336.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.