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Finding the Fourth Proportional to 12,366.17, 18,549 and 3,006.24

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Solution

The fourth proportional to 12,366.17, 18,549 and 3,006.24 is: 4,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.17 : 18,549 = 3,006.24 : x
  2. Step 2: Convert to fraction form
    12,366.17/18,549 = 3,006.24/x
  3. Step 3: Cross multiply
    12,366.17x = 18,549 × 3,006.24
  4. Step 4: Simplify right side
    12,366.17x = 55,762,745.76
  5. Step 5: Solve for x
    x = 55,762,745.76/12,366.17
  6. Step 6: Final answer
    x = 4,509.30

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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.