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Finding the Fourth Proportional to 12,474.69, 18,706.56 and 4,678.03

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Solution

The fourth proportional to 12,474.69, 18,706.56 and 4,678.03 is: 7,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.69 : 18,706.56 = 4,678.03 : x
  2. Step 2: Convert to fraction form
    12,474.69/18,706.56 = 4,678.03/x
  3. Step 3: Cross multiply
    12,474.69x = 18,706.56 × 4,678.03
  4. Step 4: Simplify right side
    12,474.69x = 87,509,881.03
  5. Step 5: Solve for x
    x = 87,509,881.03/12,474.69
  6. Step 6: Final answer
    x = 7,015.00

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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.