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Finding the Fourth Proportional to 12,024.24, 16,599.88 and 8,052.12

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Solution

The fourth proportional to 12,024.24, 16,599.88 and 8,052.12 is: 11,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.24 : 16,599.88 = 8,052.12 : x
  2. Step 2: Convert to fraction form
    12,024.24/16,599.88 = 8,052.12/x
  3. Step 3: Cross multiply
    12,024.24x = 16,599.88 × 8,052.12
  4. Step 4: Simplify right side
    12,024.24x = 133,664,225.75
  5. Step 5: Solve for x
    x = 133,664,225.75/12,024.24
  6. Step 6: Final answer
    x = 11,116.23

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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.