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Finding the Fourth Proportional to 12,576.84, 17,352.48 and 8,102.15

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Solution

The fourth proportional to 12,576.84, 17,352.48 and 8,102.15 is: 11,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.84 : 17,352.48 = 8,102.15 : x
  2. Step 2: Convert to fraction form
    12,576.84/17,352.48 = 8,102.15/x
  3. Step 3: Cross multiply
    12,576.84x = 17,352.48 × 8,102.15
  4. Step 4: Simplify right side
    12,576.84x = 140,592,407.75
  5. Step 5: Solve for x
    x = 140,592,407.75/12,576.84
  6. Step 6: Final answer
    x = 11,178.67

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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.