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Finding the Fourth Proportional to 16,005.42, 24,014.43 and 8,103.60

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Solution

The fourth proportional to 16,005.42, 24,014.43 and 8,103.60 is: 12,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.42 : 24,014.43 = 8,103.60 : x
  2. Step 2: Convert to fraction form
    16,005.42/24,014.43 = 8,103.60/x
  3. Step 3: Cross multiply
    16,005.42x = 24,014.43 × 8,103.60
  4. Step 4: Simplify right side
    16,005.42x = 194,603,334.95
  5. Step 5: Solve for x
    x = 194,603,334.95/16,005.42
  6. Step 6: Final answer
    x = 12,158.59

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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.