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Finding the Fourth Proportional to 16,340.96, 24,515.76 and 4,654.28

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Solution

The fourth proportional to 16,340.96, 24,515.76 and 4,654.28 is: 6,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.96 : 24,515.76 = 4,654.28 : x
  2. Step 2: Convert to fraction form
    16,340.96/24,515.76 = 4,654.28/x
  3. Step 3: Cross multiply
    16,340.96x = 24,515.76 × 4,654.28
  4. Step 4: Simplify right side
    16,340.96x = 114,103,211.45
  5. Step 5: Solve for x
    x = 114,103,211.45/16,340.96
  6. Step 6: Final answer
    x = 6,982.65

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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.