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Finding the Fourth Proportional to 15,428.80, 23,151.60 and 8,408.40

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Solution

The fourth proportional to 15,428.80, 23,151.60 and 8,408.40 is: 12,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.80 : 23,151.60 = 8,408.40 : x
  2. Step 2: Convert to fraction form
    15,428.80/23,151.60 = 8,408.40/x
  3. Step 3: Cross multiply
    15,428.80x = 23,151.60 × 8,408.40
  4. Step 4: Simplify right side
    15,428.80x = 194,667,913.44
  5. Step 5: Solve for x
    x = 194,667,913.44/15,428.80
  6. Step 6: Final answer
    x = 12,617.18

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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.