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Finding the Fourth Proportional to 22,274.96, 30,749.64 and 19,238

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Solution

The fourth proportional to 22,274.96, 30,749.64 and 19,238 is: 26,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.96 : 30,749.64 = 19,238 : x
  2. Step 2: Convert to fraction form
    22,274.96/30,749.64 = 19,238/x
  3. Step 3: Cross multiply
    22,274.96x = 30,749.64 × 19,238
  4. Step 4: Simplify right side
    22,274.96x = 591,561,574.32
  5. Step 5: Solve for x
    x = 591,561,574.32/22,274.96
  6. Step 6: Final answer
    x = 26,557.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.