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Finding the Fourth Proportional to 14,309.68, 19,747.02 and 8,023.36

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Solution

The fourth proportional to 14,309.68, 19,747.02 and 8,023.36 is: 11,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.68 : 19,747.02 = 8,023.36 : x
  2. Step 2: Convert to fraction form
    14,309.68/19,747.02 = 8,023.36/x
  3. Step 3: Cross multiply
    14,309.68x = 19,747.02 × 8,023.36
  4. Step 4: Simplify right side
    14,309.68x = 158,437,450.39
  5. Step 5: Solve for x
    x = 158,437,450.39/14,309.68
  6. Step 6: Final answer
    x = 11,072.05

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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.