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Finding the Fourth Proportional to 17,812.84, 24,578.58 and 12,152.20

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Solution

The fourth proportional to 17,812.84, 24,578.58 and 12,152.20 is: 16,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.84 : 24,578.58 = 12,152.20 : x
  2. Step 2: Convert to fraction form
    17,812.84/24,578.58 = 12,152.20/x
  3. Step 3: Cross multiply
    17,812.84x = 24,578.58 × 12,152.20
  4. Step 4: Simplify right side
    17,812.84x = 298,683,819.88
  5. Step 5: Solve for x
    x = 298,683,819.88/17,812.84
  6. Step 6: Final answer
    x = 16,767.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.