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Finding the Fourth Proportional to 12,409.50, 18,621.81 and 5,013.18

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Solution

The fourth proportional to 12,409.50, 18,621.81 and 5,013.18 is: 7,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.50 : 18,621.81 = 5,013.18 : x
  2. Step 2: Convert to fraction form
    12,409.50/18,621.81 = 5,013.18/x
  3. Step 3: Cross multiply
    12,409.50x = 18,621.81 × 5,013.18
  4. Step 4: Simplify right side
    12,409.50x = 93,354,485.46
  5. Step 5: Solve for x
    x = 93,354,485.46/12,409.50
  6. Step 6: Final answer
    x = 7,522.82

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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.