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Finding the Fourth Proportional to 12,304.32, 18,456.48 and 6,146.88

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Solution

The fourth proportional to 12,304.32, 18,456.48 and 6,146.88 is: 9,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.32 : 18,456.48 = 6,146.88 : x
  2. Step 2: Convert to fraction form
    12,304.32/18,456.48 = 6,146.88/x
  3. Step 3: Cross multiply
    12,304.32x = 18,456.48 × 6,146.88
  4. Step 4: Simplify right side
    12,304.32x = 113,449,767.78
  5. Step 5: Solve for x
    x = 113,449,767.78/12,304.32
  6. Step 6: Final answer
    x = 9,220.32

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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.