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Finding the Fourth Proportional to 16,303.86, 24,452.96 and 7,538.04

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Solution

The fourth proportional to 16,303.86, 24,452.96 and 7,538.04 is: 11,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.86 : 24,452.96 = 7,538.04 : x
  2. Step 2: Convert to fraction form
    16,303.86/24,452.96 = 7,538.04/x
  3. Step 3: Cross multiply
    16,303.86x = 24,452.96 × 7,538.04
  4. Step 4: Simplify right side
    16,303.86x = 184,327,352.91
  5. Step 5: Solve for x
    x = 184,327,352.91/16,303.86
  6. Step 6: Final answer
    x = 11,305.75

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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.