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Finding the Fourth Proportional to 17,882.36, 26,824.74 and 4,734.56

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Solution

The fourth proportional to 17,882.36, 26,824.74 and 4,734.56 is: 7,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.36 : 26,824.74 = 4,734.56 : x
  2. Step 2: Convert to fraction form
    17,882.36/26,824.74 = 4,734.56/x
  3. Step 3: Cross multiply
    17,882.36x = 26,824.74 × 4,734.56
  4. Step 4: Simplify right side
    17,882.36x = 127,003,341.01
  5. Step 5: Solve for x
    x = 127,003,341.01/17,882.36
  6. Step 6: Final answer
    x = 7,102.16

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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.