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Finding the Fourth Proportional to 21,638.60, 32,453.22 and 6,848.72

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Solution

The fourth proportional to 21,638.60, 32,453.22 and 6,848.72 is: 10,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.60 : 32,453.22 = 6,848.72 : x
  2. Step 2: Convert to fraction form
    21,638.60/32,453.22 = 6,848.72/x
  3. Step 3: Cross multiply
    21,638.60x = 32,453.22 × 6,848.72
  4. Step 4: Simplify right side
    21,638.60x = 222,263,016.88
  5. Step 5: Solve for x
    x = 222,263,016.88/21,638.60
  6. Step 6: Final answer
    x = 10,271.60

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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.