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Finding the Fourth Proportional to 14,288.48, 19,713.53 and 9,256.56

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Solution

The fourth proportional to 14,288.48, 19,713.53 and 9,256.56 is: 12,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.48 : 19,713.53 = 9,256.56 : x
  2. Step 2: Convert to fraction form
    14,288.48/19,713.53 = 9,256.56/x
  3. Step 3: Cross multiply
    14,288.48x = 19,713.53 × 9,256.56
  4. Step 4: Simplify right side
    14,288.48x = 182,479,481.29
  5. Step 5: Solve for x
    x = 182,479,481.29/14,288.48
  6. Step 6: Final answer
    x = 12,771.09

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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.