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Finding the Fourth Proportional to 23,074.53, 31,842.86 and 12,464.16

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Solution

The fourth proportional to 23,074.53, 31,842.86 and 12,464.16 is: 17,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.53 : 31,842.86 = 12,464.16 : x
  2. Step 2: Convert to fraction form
    23,074.53/31,842.86 = 12,464.16/x
  3. Step 3: Cross multiply
    23,074.53x = 31,842.86 × 12,464.16
  4. Step 4: Simplify right side
    23,074.53x = 396,894,280.36
  5. Step 5: Solve for x
    x = 396,894,280.36/23,074.53
  6. Step 6: Final answer
    x = 17,200.54

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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.