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Finding the Fourth Proportional to 23,771.83, 35,665.86 and 8,984.95

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Solution

The fourth proportional to 23,771.83, 35,665.86 and 8,984.95 is: 13,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.83 : 35,665.86 = 8,984.95 : x
  2. Step 2: Convert to fraction form
    23,771.83/35,665.86 = 8,984.95/x
  3. Step 3: Cross multiply
    23,771.83x = 35,665.86 × 8,984.95
  4. Step 4: Simplify right side
    23,771.83x = 320,455,968.81
  5. Step 5: Solve for x
    x = 320,455,968.81/23,771.83
  6. Step 6: Final answer
    x = 13,480.49

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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.