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Finding the Fourth Proportional to 16,538.94, 24,751.20 and 10,211.22

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Solution

The fourth proportional to 16,538.94, 24,751.20 and 10,211.22 is: 15,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.94 : 24,751.20 = 10,211.22 : x
  2. Step 2: Convert to fraction form
    16,538.94/24,751.20 = 10,211.22/x
  3. Step 3: Cross multiply
    16,538.94x = 24,751.20 × 10,211.22
  4. Step 4: Simplify right side
    16,538.94x = 252,739,948.46
  5. Step 5: Solve for x
    x = 252,739,948.46/16,538.94
  6. Step 6: Final answer
    x = 15,281.51

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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.