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Finding the Fourth Proportional to 21,486.68, 32,236.85 and 13,638.08

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Solution

The fourth proportional to 21,486.68, 32,236.85 and 13,638.08 is: 20,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.68 : 32,236.85 = 13,638.08 : x
  2. Step 2: Convert to fraction form
    21,486.68/32,236.85 = 13,638.08/x
  3. Step 3: Cross multiply
    21,486.68x = 32,236.85 × 13,638.08
  4. Step 4: Simplify right side
    21,486.68x = 439,648,853.94
  5. Step 5: Solve for x
    x = 439,648,853.94/21,486.68
  6. Step 6: Final answer
    x = 20,461.47

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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.