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Finding the Fourth Proportional to 12,474.63, 18,706.46 and 4,677.98

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Solution

The fourth proportional to 12,474.63, 18,706.46 and 4,677.98 is: 7,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.63 : 18,706.46 = 4,677.98 : x
  2. Step 2: Convert to fraction form
    12,474.63/18,706.46 = 4,677.98/x
  3. Step 3: Cross multiply
    12,474.63x = 18,706.46 × 4,677.98
  4. Step 4: Simplify right side
    12,474.63x = 87,508,328.83
  5. Step 5: Solve for x
    x = 87,508,328.83/12,474.63
  6. Step 6: Final answer
    x = 7,014.90

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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.