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Finding the Fourth Proportional to 16,298.01, 24,452.28 and 7,538.67

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Solution

The fourth proportional to 16,298.01, 24,452.28 and 7,538.67 is: 11,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.01 : 24,452.28 = 7,538.67 : x
  2. Step 2: Convert to fraction form
    16,298.01/24,452.28 = 7,538.67/x
  3. Step 3: Cross multiply
    16,298.01x = 24,452.28 × 7,538.67
  4. Step 4: Simplify right side
    16,298.01x = 184,337,669.67
  5. Step 5: Solve for x
    x = 184,337,669.67/16,298.01
  6. Step 6: Final answer
    x = 11,310.44

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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.