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Finding the Fourth Proportional to 12,366.42, 18,549.46 and 3,006.41

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Solution

The fourth proportional to 12,366.42, 18,549.46 and 3,006.41 is: 4,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.42 : 18,549.46 = 3,006.41 : x
  2. Step 2: Convert to fraction form
    12,366.42/18,549.46 = 3,006.41/x
  3. Step 3: Cross multiply
    12,366.42x = 18,549.46 × 3,006.41
  4. Step 4: Simplify right side
    12,366.42x = 55,767,328.41
  5. Step 5: Solve for x
    x = 55,767,328.41/12,366.42
  6. Step 6: Final answer
    x = 4,509.58

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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.