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Finding the Fourth Proportional to 14,604.94, 20,141.59 and 9,567.33

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Solution

The fourth proportional to 14,604.94, 20,141.59 and 9,567.33 is: 13,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.94 : 20,141.59 = 9,567.33 : x
  2. Step 2: Convert to fraction form
    14,604.94/20,141.59 = 9,567.33/x
  3. Step 3: Cross multiply
    14,604.94x = 20,141.59 × 9,567.33
  4. Step 4: Simplify right side
    14,604.94x = 192,701,238.25
  5. Step 5: Solve for x
    x = 192,701,238.25/14,604.94
  6. Step 6: Final answer
    x = 13,194.25

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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.