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Finding the Fourth Proportional to 12,172.69, 16,787.75 and 7,922.17

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Solution

The fourth proportional to 12,172.69, 16,787.75 and 7,922.17 is: 10,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.69 : 16,787.75 = 7,922.17 : x
  2. Step 2: Convert to fraction form
    12,172.69/16,787.75 = 7,922.17/x
  3. Step 3: Cross multiply
    12,172.69x = 16,787.75 × 7,922.17
  4. Step 4: Simplify right side
    12,172.69x = 132,995,409.42
  5. Step 5: Solve for x
    x = 132,995,409.42/12,172.69
  6. Step 6: Final answer
    x = 10,925.72

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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.