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Finding the Fourth Proportional to 21,751.53, 32,635.03 and 13,421.84

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Solution

The fourth proportional to 21,751.53, 32,635.03 and 13,421.84 is: 20,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.53 : 32,635.03 = 13,421.84 : x
  2. Step 2: Convert to fraction form
    21,751.53/32,635.03 = 13,421.84/x
  3. Step 3: Cross multiply
    21,751.53x = 32,635.03 × 13,421.84
  4. Step 4: Simplify right side
    21,751.53x = 438,022,151.06
  5. Step 5: Solve for x
    x = 438,022,151.06/21,751.53
  6. Step 6: Final answer
    x = 20,137.53

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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.