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Finding the Fourth Proportional to 13,227.34, 19,835.22 and 9,514.06

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Solution

The fourth proportional to 13,227.34, 19,835.22 and 9,514.06 is: 14,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.34 : 19,835.22 = 9,514.06 : x
  2. Step 2: Convert to fraction form
    13,227.34/19,835.22 = 9,514.06/x
  3. Step 3: Cross multiply
    13,227.34x = 19,835.22 × 9,514.06
  4. Step 4: Simplify right side
    13,227.34x = 188,713,473.19
  5. Step 5: Solve for x
    x = 188,713,473.19/13,227.34
  6. Step 6: Final answer
    x = 14,266.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.