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Finding the Fourth Proportional to 21,419.33, 32,137.88 and 13,099.64

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Solution

The fourth proportional to 21,419.33, 32,137.88 and 13,099.64 is: 19,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.33 : 32,137.88 = 13,099.64 : x
  2. Step 2: Convert to fraction form
    21,419.33/32,137.88 = 13,099.64/x
  3. Step 3: Cross multiply
    21,419.33x = 32,137.88 × 13,099.64
  4. Step 4: Simplify right side
    21,419.33x = 420,994,432.18
  5. Step 5: Solve for x
    x = 420,994,432.18/21,419.33
  6. Step 6: Final answer
    x = 19,654.89

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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.