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Finding the Fourth Proportional to 23,967.63, 35,967.78 and 8,385.12

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Solution

The fourth proportional to 23,967.63, 35,967.78 and 8,385.12 is: 12,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.63 : 35,967.78 = 8,385.12 : x
  2. Step 2: Convert to fraction form
    23,967.63/35,967.78 = 8,385.12/x
  3. Step 3: Cross multiply
    23,967.63x = 35,967.78 × 8,385.12
  4. Step 4: Simplify right side
    23,967.63x = 301,594,151.43
  5. Step 5: Solve for x
    x = 301,594,151.43/23,967.63
  6. Step 6: Final answer
    x = 12,583.39

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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.