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Finding the Fourth Proportional to 15,268.92, 22,905.84 and 7,478.34

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Solution

The fourth proportional to 15,268.92, 22,905.84 and 7,478.34 is: 11,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268.92 : 22,905.84 = 7,478.34 : x
  2. Step 2: Convert to fraction form
    15,268.92/22,905.84 = 7,478.34/x
  3. Step 3: Cross multiply
    15,268.92x = 22,905.84 × 7,478.34
  4. Step 4: Simplify right side
    15,268.92x = 171,297,659.51
  5. Step 5: Solve for x
    x = 171,297,659.51/15,268.92
  6. Step 6: Final answer
    x = 11,218.71

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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.