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Finding the Fourth Proportional to 12,688.36, 19,032.18 and 5,674.84

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Solution

The fourth proportional to 12,688.36, 19,032.18 and 5,674.84 is: 8,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.36 : 19,032.18 = 5,674.84 : x
  2. Step 2: Convert to fraction form
    12,688.36/19,032.18 = 5,674.84/x
  3. Step 3: Cross multiply
    12,688.36x = 19,032.18 × 5,674.84
  4. Step 4: Simplify right side
    12,688.36x = 108,004,576.35
  5. Step 5: Solve for x
    x = 108,004,576.35/12,688.36
  6. Step 6: Final answer
    x = 8,512.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.