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Finding the Fourth Proportional to 14,292.11, 19,722.49 and 8,323.43

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Solution

The fourth proportional to 14,292.11, 19,722.49 and 8,323.43 is: 11,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.11 : 19,722.49 = 8,323.43 : x
  2. Step 2: Convert to fraction form
    14,292.11/19,722.49 = 8,323.43/x
  3. Step 3: Cross multiply
    14,292.11x = 19,722.49 × 8,323.43
  4. Step 4: Simplify right side
    14,292.11x = 164,158,645.52
  5. Step 5: Solve for x
    x = 164,158,645.52/14,292.11
  6. Step 6: Final answer
    x = 11,485.96

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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.