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Finding the Fourth Proportional to 12,278.76, 18,405 and 4,872.96

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Solution

The fourth proportional to 12,278.76, 18,405 and 4,872.96 is: 7,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.76 : 18,405 = 4,872.96 : x
  2. Step 2: Convert to fraction form
    12,278.76/18,405 = 4,872.96/x
  3. Step 3: Cross multiply
    12,278.76x = 18,405 × 4,872.96
  4. Step 4: Simplify right side
    12,278.76x = 89,686,828.80
  5. Step 5: Solve for x
    x = 89,686,828.80/12,278.76
  6. Step 6: Final answer
    x = 7,304.23

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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.