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Finding the Fourth Proportional to 19,648.26, 29,480.16 and 7,169.16

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Solution

The fourth proportional to 19,648.26, 29,480.16 and 7,169.16 is: 10,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.26 : 29,480.16 = 7,169.16 : x
  2. Step 2: Convert to fraction form
    19,648.26/29,480.16 = 7,169.16/x
  3. Step 3: Cross multiply
    19,648.26x = 29,480.16 × 7,169.16
  4. Step 4: Simplify right side
    19,648.26x = 211,347,983.87
  5. Step 5: Solve for x
    x = 211,347,983.87/19,648.26
  6. Step 6: Final answer
    x = 10,756.58

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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.