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Finding the Fourth Proportional to 24,707.42, 34,096 and 13,376.62

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Solution

The fourth proportional to 24,707.42, 34,096 and 13,376.62 is: 18,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.42 : 34,096 = 13,376.62 : x
  2. Step 2: Convert to fraction form
    24,707.42/34,096 = 13,376.62/x
  3. Step 3: Cross multiply
    24,707.42x = 34,096 × 13,376.62
  4. Step 4: Simplify right side
    24,707.42x = 456,089,235.52
  5. Step 5: Solve for x
    x = 456,089,235.52/24,707.42
  6. Step 6: Final answer
    x = 18,459.61

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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.