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Finding the Fourth Proportional to 13,171.15, 19,714.56 and 9,227.26

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Solution

The fourth proportional to 13,171.15, 19,714.56 and 9,227.26 is: 13,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.15 : 19,714.56 = 9,227.26 : x
  2. Step 2: Convert to fraction form
    13,171.15/19,714.56 = 9,227.26/x
  3. Step 3: Cross multiply
    13,171.15x = 19,714.56 × 9,227.26
  4. Step 4: Simplify right side
    13,171.15x = 181,911,370.91
  5. Step 5: Solve for x
    x = 181,911,370.91/13,171.15
  6. Step 6: Final answer
    x = 13,811.35

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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.