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Finding the Fourth Proportional to 19,608, 29,395.46 and 8,506.33

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Solution

The fourth proportional to 19,608, 29,395.46 and 8,506.33 is: 12,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608 : 29,395.46 = 8,506.33 : x
  2. Step 2: Convert to fraction form
    19,608/29,395.46 = 8,506.33/x
  3. Step 3: Cross multiply
    19,608x = 29,395.46 × 8,506.33
  4. Step 4: Simplify right side
    19,608x = 250,047,431.04
  5. Step 5: Solve for x
    x = 250,047,431.04/19,608
  6. Step 6: Final answer
    x = 12,752.32

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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.