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Finding the Fourth Proportional to 12,825.76, 17,688.72 and 8,102.56

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Solution

The fourth proportional to 12,825.76, 17,688.72 and 8,102.56 is: 11,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.76 : 17,688.72 = 8,102.56 : x
  2. Step 2: Convert to fraction form
    12,825.76/17,688.72 = 8,102.56/x
  3. Step 3: Cross multiply
    12,825.76x = 17,688.72 × 8,102.56
  4. Step 4: Simplify right side
    12,825.76x = 143,323,915.12
  5. Step 5: Solve for x
    x = 143,323,915.12/12,825.76
  6. Step 6: Final answer
    x = 11,174.69

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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.