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Finding the Fourth Proportional to 12,688.05, 17,509.80 and 8,219.58

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Solution

The fourth proportional to 12,688.05, 17,509.80 and 8,219.58 is: 11,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.05 : 17,509.80 = 8,219.58 : x
  2. Step 2: Convert to fraction form
    12,688.05/17,509.80 = 8,219.58/x
  3. Step 3: Cross multiply
    12,688.05x = 17,509.80 × 8,219.58
  4. Step 4: Simplify right side
    12,688.05x = 143,923,201.88
  5. Step 5: Solve for x
    x = 143,923,201.88/12,688.05
  6. Step 6: Final answer
    x = 11,343.21

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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.