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Finding the Fourth Proportional to 21,672.36, 32,485.50 and 9,199.08

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Solution

The fourth proportional to 21,672.36, 32,485.50 and 9,199.08 is: 13,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.36 : 32,485.50 = 9,199.08 : x
  2. Step 2: Convert to fraction form
    21,672.36/32,485.50 = 9,199.08/x
  3. Step 3: Cross multiply
    21,672.36x = 32,485.50 × 9,199.08
  4. Step 4: Simplify right side
    21,672.36x = 298,836,713.34
  5. Step 5: Solve for x
    x = 298,836,713.34/21,672.36
  6. Step 6: Final answer
    x = 13,788.84

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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.