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Finding the Fourth Proportional to 21,333.08, 31,934 and 13,921.60

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Solution

The fourth proportional to 21,333.08, 31,934 and 13,921.60 is: 20,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.08 : 31,934 = 13,921.60 : x
  2. Step 2: Convert to fraction form
    21,333.08/31,934 = 13,921.60/x
  3. Step 3: Cross multiply
    21,333.08x = 31,934 × 13,921.60
  4. Step 4: Simplify right side
    21,333.08x = 444,572,374.40
  5. Step 5: Solve for x
    x = 444,572,374.40/21,333.08
  6. Step 6: Final answer
    x = 20,839.58

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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.