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Finding the Fourth Proportional to 16,476.90, 24,712.38 and 8,154.24

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Solution

The fourth proportional to 16,476.90, 24,712.38 and 8,154.24 is: 12,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.90 : 24,712.38 = 8,154.24 : x
  2. Step 2: Convert to fraction form
    16,476.90/24,712.38 = 8,154.24/x
  3. Step 3: Cross multiply
    16,476.90x = 24,712.38 × 8,154.24
  4. Step 4: Simplify right side
    16,476.90x = 201,510,677.49
  5. Step 5: Solve for x
    x = 201,510,677.49/16,476.90
  6. Step 6: Final answer
    x = 12,229.89

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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.