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Finding the Fourth Proportional to 13,576.84, 18,736.50 and 7,608.76

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Solution

The fourth proportional to 13,576.84, 18,736.50 and 7,608.76 is: 10,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.84 : 18,736.50 = 7,608.76 : x
  2. Step 2: Convert to fraction form
    13,576.84/18,736.50 = 7,608.76/x
  3. Step 3: Cross multiply
    13,576.84x = 18,736.50 × 7,608.76
  4. Step 4: Simplify right side
    13,576.84x = 142,561,531.74
  5. Step 5: Solve for x
    x = 142,561,531.74/13,576.84
  6. Step 6: Final answer
    x = 10,500.35

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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.