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Finding the Fourth Proportional to 12,438.09, 17,164.17 and 6,772.68

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Solution

The fourth proportional to 12,438.09, 17,164.17 and 6,772.68 is: 9,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.09 : 17,164.17 = 6,772.68 : x
  2. Step 2: Convert to fraction form
    12,438.09/17,164.17 = 6,772.68/x
  3. Step 3: Cross multiply
    12,438.09x = 17,164.17 × 6,772.68
  4. Step 4: Simplify right side
    12,438.09x = 116,247,430.88
  5. Step 5: Solve for x
    x = 116,247,430.88/12,438.09
  6. Step 6: Final answer
    x = 9,346.08

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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.