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Finding the Fourth Proportional to 20,917, 31,374.60 and 5,334.16

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Solution

The fourth proportional to 20,917, 31,374.60 and 5,334.16 is: 8,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917 : 31,374.60 = 5,334.16 : x
  2. Step 2: Convert to fraction form
    20,917/31,374.60 = 5,334.16/x
  3. Step 3: Cross multiply
    20,917x = 31,374.60 × 5,334.16
  4. Step 4: Simplify right side
    20,917x = 167,357,136.34
  5. Step 5: Solve for x
    x = 167,357,136.34/20,917
  6. Step 6: Final answer
    x = 8,001.01

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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.