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Finding the Fourth Proportional to 23,643.42, 35,468.64 and 8,651.31

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Solution

The fourth proportional to 23,643.42, 35,468.64 and 8,651.31 is: 12,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.42 : 35,468.64 = 8,651.31 : x
  2. Step 2: Convert to fraction form
    23,643.42/35,468.64 = 8,651.31/x
  3. Step 3: Cross multiply
    23,643.42x = 35,468.64 × 8,651.31
  4. Step 4: Simplify right side
    23,643.42x = 306,850,199.92
  5. Step 5: Solve for x
    x = 306,850,199.92/23,643.42
  6. Step 6: Final answer
    x = 12,978.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.