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Finding the Fourth Proportional to 21,078.72, 31,613.76 and 7,930.80

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Solution

The fourth proportional to 21,078.72, 31,613.76 and 7,930.80 is: 11,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.72 : 31,613.76 = 7,930.80 : x
  2. Step 2: Convert to fraction form
    21,078.72/31,613.76 = 7,930.80/x
  3. Step 3: Cross multiply
    21,078.72x = 31,613.76 × 7,930.80
  4. Step 4: Simplify right side
    21,078.72x = 250,722,407.81
  5. Step 5: Solve for x
    x = 250,722,407.81/21,078.72
  6. Step 6: Final answer
    x = 11,894.57

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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.