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Finding the Fourth Proportional to 19,640.96, 29,460.48 and 7,328

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Solution

The fourth proportional to 19,640.96, 29,460.48 and 7,328 is: 10,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.96 : 29,460.48 = 7,328 : x
  2. Step 2: Convert to fraction form
    19,640.96/29,460.48 = 7,328/x
  3. Step 3: Cross multiply
    19,640.96x = 29,460.48 × 7,328
  4. Step 4: Simplify right side
    19,640.96x = 215,886,397.44
  5. Step 5: Solve for x
    x = 215,886,397.44/19,640.96
  6. Step 6: Final answer
    x = 10,991.64

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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.