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Finding the Fourth Proportional to 17,648.79, 26,467.31 and 7,116.09

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Solution

The fourth proportional to 17,648.79, 26,467.31 and 7,116.09 is: 10,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.79 : 26,467.31 = 7,116.09 : x
  2. Step 2: Convert to fraction form
    17,648.79/26,467.31 = 7,116.09/x
  3. Step 3: Cross multiply
    17,648.79x = 26,467.31 × 7,116.09
  4. Step 4: Simplify right side
    17,648.79x = 188,343,638.53
  5. Step 5: Solve for x
    x = 188,343,638.53/17,648.79
  6. Step 6: Final answer
    x = 10,671.76

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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.