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Finding the Fourth Proportional to 13,745, 18,968.52 and 7,776.54

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Solution

The fourth proportional to 13,745, 18,968.52 and 7,776.54 is: 10,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745 : 18,968.52 = 7,776.54 : x
  2. Step 2: Convert to fraction form
    13,745/18,968.52 = 7,776.54/x
  3. Step 3: Cross multiply
    13,745x = 18,968.52 × 7,776.54
  4. Step 4: Simplify right side
    13,745x = 147,509,454.52
  5. Step 5: Solve for x
    x = 147,509,454.52/13,745
  6. Step 6: Final answer
    x = 10,731.86

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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.