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Finding the Fourth Proportional to 14,257.27, 19,668.19 and 9,223.07

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Solution

The fourth proportional to 14,257.27, 19,668.19 and 9,223.07 is: 12,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.27 : 19,668.19 = 9,223.07 : x
  2. Step 2: Convert to fraction form
    14,257.27/19,668.19 = 9,223.07/x
  3. Step 3: Cross multiply
    14,257.27x = 19,668.19 × 9,223.07
  4. Step 4: Simplify right side
    14,257.27x = 181,401,014.98
  5. Step 5: Solve for x
    x = 181,401,014.98/14,257.27
  6. Step 6: Final answer
    x = 12,723.41

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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.