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Finding the Fourth Proportional to 22,470.64, 33,709.36 and 7,268.16

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Solution

The fourth proportional to 22,470.64, 33,709.36 and 7,268.16 is: 10,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.64 : 33,709.36 = 7,268.16 : x
  2. Step 2: Convert to fraction form
    22,470.64/33,709.36 = 7,268.16/x
  3. Step 3: Cross multiply
    22,470.64x = 33,709.36 × 7,268.16
  4. Step 4: Simplify right side
    22,470.64x = 245,005,021.98
  5. Step 5: Solve for x
    x = 245,005,021.98/22,470.64
  6. Step 6: Final answer
    x = 10,903.34

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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.