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Finding the Fourth Proportional to 36,374, 54,569.46 and 11,412.68

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Solution

The fourth proportional to 36,374, 54,569.46 and 11,412.68 is: 17,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,374 : 54,569.46 = 11,412.68 : x
  2. Step 2: Convert to fraction form
    36,374/54,569.46 = 11,412.68/x
  3. Step 3: Cross multiply
    36,374x = 54,569.46 × 11,412.68
  4. Step 4: Simplify right side
    36,374x = 622,783,784.75
  5. Step 5: Solve for x
    x = 622,783,784.75/36,374
  6. Step 6: Final answer
    x = 17,121.67

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