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Finding the Fourth Proportional to 19,608.96, 29,412.48 and 7,296

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Solution

The fourth proportional to 19,608.96, 29,412.48 and 7,296 is: 10,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.96 : 29,412.48 = 7,296 : x
  2. Step 2: Convert to fraction form
    19,608.96/29,412.48 = 7,296/x
  3. Step 3: Cross multiply
    19,608.96x = 29,412.48 × 7,296
  4. Step 4: Simplify right side
    19,608.96x = 214,593,454.08
  5. Step 5: Solve for x
    x = 214,593,454.08/19,608.96
  6. Step 6: Final answer
    x = 10,943.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.