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Finding the Fourth Proportional to 13,324.48, 19,977.46 and 6,746.20

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Solution

The fourth proportional to 13,324.48, 19,977.46 and 6,746.20 is: 10,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.48 : 19,977.46 = 6,746.20 : x
  2. Step 2: Convert to fraction form
    13,324.48/19,977.46 = 6,746.20/x
  3. Step 3: Cross multiply
    13,324.48x = 19,977.46 × 6,746.20
  4. Step 4: Simplify right side
    13,324.48x = 134,771,940.65
  5. Step 5: Solve for x
    x = 134,771,940.65/13,324.48
  6. Step 6: Final answer
    x = 10,114.61

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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.