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Finding the Fourth Proportional to 12,043, 18,063.96 and 5,020.12

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Solution

The fourth proportional to 12,043, 18,063.96 and 5,020.12 is: 7,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043 : 18,063.96 = 5,020.12 : x
  2. Step 2: Convert to fraction form
    12,043/18,063.96 = 5,020.12/x
  3. Step 3: Cross multiply
    12,043x = 18,063.96 × 5,020.12
  4. Step 4: Simplify right side
    12,043x = 90,683,246.88
  5. Step 5: Solve for x
    x = 90,683,246.88/12,043
  6. Step 6: Final answer
    x = 7,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.