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Finding the Fourth Proportional to 12,436.62, 18,661.41 and 5,509.50

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Solution

The fourth proportional to 12,436.62, 18,661.41 and 5,509.50 is: 8,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.62 : 18,661.41 = 5,509.50 : x
  2. Step 2: Convert to fraction form
    12,436.62/18,661.41 = 5,509.50/x
  3. Step 3: Cross multiply
    12,436.62x = 18,661.41 × 5,509.50
  4. Step 4: Simplify right side
    12,436.62x = 102,815,038.40
  5. Step 5: Solve for x
    x = 102,815,038.40/12,436.62
  6. Step 6: Final answer
    x = 8,267.12

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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.