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Finding the Fourth Proportional to 12,438.56, 17,164.88 and 6,849.52

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Solution

The fourth proportional to 12,438.56, 17,164.88 and 6,849.52 is: 9,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.56 : 17,164.88 = 6,849.52 : x
  2. Step 2: Convert to fraction form
    12,438.56/17,164.88 = 6,849.52/x
  3. Step 3: Cross multiply
    12,438.56x = 17,164.88 × 6,849.52
  4. Step 4: Simplify right side
    12,438.56x = 117,571,188.86
  5. Step 5: Solve for x
    x = 117,571,188.86/12,438.56
  6. Step 6: Final answer
    x = 9,452.15

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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.