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Finding the Fourth Proportional to 14,370.14, 19,829.64 and 7,996.22

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Solution

The fourth proportional to 14,370.14, 19,829.64 and 7,996.22 is: 11,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.14 : 19,829.64 = 7,996.22 : x
  2. Step 2: Convert to fraction form
    14,370.14/19,829.64 = 7,996.22/x
  3. Step 3: Cross multiply
    14,370.14x = 19,829.64 × 7,996.22
  4. Step 4: Simplify right side
    14,370.14x = 158,562,163.96
  5. Step 5: Solve for x
    x = 158,562,163.96/14,370.14
  6. Step 6: Final answer
    x = 11,034.14

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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.