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Finding the Fourth Proportional to 22,594.64, 33,889.80 and 13,825.04

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Solution

The fourth proportional to 22,594.64, 33,889.80 and 13,825.04 is: 20,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.64 : 33,889.80 = 13,825.04 : x
  2. Step 2: Convert to fraction form
    22,594.64/33,889.80 = 13,825.04/x
  3. Step 3: Cross multiply
    22,594.64x = 33,889.80 × 13,825.04
  4. Step 4: Simplify right side
    22,594.64x = 468,527,840.59
  5. Step 5: Solve for x
    x = 468,527,840.59/22,594.64
  6. Step 6: Final answer
    x = 20,736.24

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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.