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Finding the Fourth Proportional to 16,308.78, 24,452.22 and 7,538.90

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Solution

The fourth proportional to 16,308.78, 24,452.22 and 7,538.90 is: 11,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.78 : 24,452.22 = 7,538.90 : x
  2. Step 2: Convert to fraction form
    16,308.78/24,452.22 = 7,538.90/x
  3. Step 3: Cross multiply
    16,308.78x = 24,452.22 × 7,538.90
  4. Step 4: Simplify right side
    16,308.78x = 184,342,841.36
  5. Step 5: Solve for x
    x = 184,342,841.36/16,308.78
  6. Step 6: Final answer
    x = 11,303.29

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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.