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Finding the Fourth Proportional to 13,751.92, 18,974.82 and 7,783.84

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Solution

The fourth proportional to 13,751.92, 18,974.82 and 7,783.84 is: 10,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.92 : 18,974.82 = 7,783.84 : x
  2. Step 2: Convert to fraction form
    13,751.92/18,974.82 = 7,783.84/x
  3. Step 3: Cross multiply
    13,751.92x = 18,974.82 × 7,783.84
  4. Step 4: Simplify right side
    13,751.92x = 147,696,962.91
  5. Step 5: Solve for x
    x = 147,696,962.91/13,751.92
  6. Step 6: Final answer
    x = 10,740.10

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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.