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Finding the Fourth Proportional to 13,771.40, 18,975.22 and 9,287.35

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Solution

The fourth proportional to 13,771.40, 18,975.22 and 9,287.35 is: 12,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.40 : 18,975.22 = 9,287.35 : x
  2. Step 2: Convert to fraction form
    13,771.40/18,975.22 = 9,287.35/x
  3. Step 3: Cross multiply
    13,771.40x = 18,975.22 × 9,287.35
  4. Step 4: Simplify right side
    13,771.40x = 176,229,438.81
  5. Step 5: Solve for x
    x = 176,229,438.81/13,771.40
  6. Step 6: Final answer
    x = 12,796.77

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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.