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Finding the Fourth Proportional to 23,728.60, 35,596.54 and 7,930.71

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Solution

The fourth proportional to 23,728.60, 35,596.54 and 7,930.71 is: 11,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.60 : 35,596.54 = 7,930.71 : x
  2. Step 2: Convert to fraction form
    23,728.60/35,596.54 = 7,930.71/x
  3. Step 3: Cross multiply
    23,728.60x = 35,596.54 × 7,930.71
  4. Step 4: Simplify right side
    23,728.60x = 282,305,823.35
  5. Step 5: Solve for x
    x = 282,305,823.35/23,728.60
  6. Step 6: Final answer
    x = 11,897.28

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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.