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Finding the Fourth Proportional to 13,823.92, 19,077.08 and 7,536.08

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Solution

The fourth proportional to 13,823.92, 19,077.08 and 7,536.08 is: 10,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.92 : 19,077.08 = 7,536.08 : x
  2. Step 2: Convert to fraction form
    13,823.92/19,077.08 = 7,536.08/x
  3. Step 3: Cross multiply
    13,823.92x = 19,077.08 × 7,536.08
  4. Step 4: Simplify right side
    13,823.92x = 143,766,401.05
  5. Step 5: Solve for x
    x = 143,766,401.05/13,823.92
  6. Step 6: Final answer
    x = 10,399.83

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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.