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Finding the Fourth Proportional to 12,172.12, 16,797.51 and 6,583.12

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Solution

The fourth proportional to 12,172.12, 16,797.51 and 6,583.12 is: 9,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.12 : 16,797.51 = 6,583.12 : x
  2. Step 2: Convert to fraction form
    12,172.12/16,797.51 = 6,583.12/x
  3. Step 3: Cross multiply
    12,172.12x = 16,797.51 × 6,583.12
  4. Step 4: Simplify right side
    12,172.12x = 110,580,024.03
  5. Step 5: Solve for x
    x = 110,580,024.03/12,172.12
  6. Step 6: Final answer
    x = 9,084.70

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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.