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Finding the Fourth Proportional to 16,138.23, 24,205.19 and 6,276.57

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Solution

The fourth proportional to 16,138.23, 24,205.19 and 6,276.57 is: 9,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.23 : 24,205.19 = 6,276.57 : x
  2. Step 2: Convert to fraction form
    16,138.23/24,205.19 = 6,276.57/x
  3. Step 3: Cross multiply
    16,138.23x = 24,205.19 × 6,276.57
  4. Step 4: Simplify right side
    16,138.23x = 151,925,538.02
  5. Step 5: Solve for x
    x = 151,925,538.02/16,138.23
  6. Step 6: Final answer
    x = 9,414.01

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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.