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Finding the Fourth Proportional to 13,303.43, 19,956.17 and 7,757.33

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Solution

The fourth proportional to 13,303.43, 19,956.17 and 7,757.33 is: 11,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.43 : 19,956.17 = 7,757.33 : x
  2. Step 2: Convert to fraction form
    13,303.43/19,956.17 = 7,757.33/x
  3. Step 3: Cross multiply
    13,303.43x = 19,956.17 × 7,757.33
  4. Step 4: Simplify right side
    13,303.43x = 154,806,557.44
  5. Step 5: Solve for x
    x = 154,806,557.44/13,303.43
  6. Step 6: Final answer
    x = 11,636.59

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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.