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Finding the Fourth Proportional to 23,074.59, 31,842.94 and 12,464.22

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Solution

The fourth proportional to 23,074.59, 31,842.94 and 12,464.22 is: 17,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.59 : 31,842.94 = 12,464.22 : x
  2. Step 2: Convert to fraction form
    23,074.59/31,842.94 = 12,464.22/x
  3. Step 3: Cross multiply
    23,074.59x = 31,842.94 × 12,464.22
  4. Step 4: Simplify right side
    23,074.59x = 396,897,409.61
  5. Step 5: Solve for x
    x = 396,897,409.61/23,074.59
  6. Step 6: Final answer
    x = 17,200.63

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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.