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Finding the Fourth Proportional to 23,074.61, 31,842.94 and 12,464.24

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Solution

The fourth proportional to 23,074.61, 31,842.94 and 12,464.24 is: 17,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.61 : 31,842.94 = 12,464.24 : x
  2. Step 2: Convert to fraction form
    23,074.61/31,842.94 = 12,464.24/x
  3. Step 3: Cross multiply
    23,074.61x = 31,842.94 × 12,464.24
  4. Step 4: Simplify right side
    23,074.61x = 396,898,046.47
  5. Step 5: Solve for x
    x = 396,898,046.47/23,074.61
  6. Step 6: Final answer
    x = 17,200.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.