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Finding the Fourth Proportional to 12,056.84, 18,096.93 and 5,821.23

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Solution

The fourth proportional to 12,056.84, 18,096.93 and 5,821.23 is: 8,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.84 : 18,096.93 = 5,821.23 : x
  2. Step 2: Convert to fraction form
    12,056.84/18,096.93 = 5,821.23/x
  3. Step 3: Cross multiply
    12,056.84x = 18,096.93 × 5,821.23
  4. Step 4: Simplify right side
    12,056.84x = 105,346,391.82
  5. Step 5: Solve for x
    x = 105,346,391.82/12,056.84
  6. Step 6: Final answer
    x = 8,737.48

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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.