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Finding the Fourth Proportional to 13,576.50, 18,736.65 and 7,988.58

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Solution

The fourth proportional to 13,576.50, 18,736.65 and 7,988.58 is: 11,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.50 : 18,736.65 = 7,988.58 : x
  2. Step 2: Convert to fraction form
    13,576.50/18,736.65 = 7,988.58/x
  3. Step 3: Cross multiply
    13,576.50x = 18,736.65 × 7,988.58
  4. Step 4: Simplify right side
    13,576.50x = 149,679,227.46
  5. Step 5: Solve for x
    x = 149,679,227.46/13,576.50
  6. Step 6: Final answer
    x = 11,024.88

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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.