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Finding the Fourth Proportional to 16,512, 24,770.24 and 4,823.68

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Solution

The fourth proportional to 16,512, 24,770.24 and 4,823.68 is: 7,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 24,770.24 = 4,823.68 : x
  2. Step 2: Convert to fraction form
    16,512/24,770.24 = 4,823.68/x
  3. Step 3: Cross multiply
    16,512x = 24,770.24 × 4,823.68
  4. Step 4: Simplify right side
    16,512x = 119,483,711.28
  5. Step 5: Solve for x
    x = 119,483,711.28/16,512
  6. Step 6: Final answer
    x = 7,236.17

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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.