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Finding the Fourth Proportional to 14,263.75, 19,677.34 and 9,229.59

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Solution

The fourth proportional to 14,263.75, 19,677.34 and 9,229.59 is: 12,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.75 : 19,677.34 = 9,229.59 : x
  2. Step 2: Convert to fraction form
    14,263.75/19,677.34 = 9,229.59/x
  3. Step 3: Cross multiply
    14,263.75x = 19,677.34 × 9,229.59
  4. Step 4: Simplify right side
    14,263.75x = 181,613,847.37
  5. Step 5: Solve for x
    x = 181,613,847.37/14,263.75
  6. Step 6: Final answer
    x = 12,732.55

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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.