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Finding the Fourth Proportional to 13,724.78, 18,942.93 and 7,756.52

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Solution

The fourth proportional to 13,724.78, 18,942.93 and 7,756.52 is: 10,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.78 : 18,942.93 = 7,756.52 : x
  2. Step 2: Convert to fraction form
    13,724.78/18,942.93 = 7,756.52/x
  3. Step 3: Cross multiply
    13,724.78x = 18,942.93 × 7,756.52
  4. Step 4: Simplify right side
    13,724.78x = 146,931,215.40
  5. Step 5: Solve for x
    x = 146,931,215.40/13,724.78
  6. Step 6: Final answer
    x = 10,705.54

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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.