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Finding the Fourth Proportional to 12,423.32, 18,636.94 and 3,657.08

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Solution

The fourth proportional to 12,423.32, 18,636.94 and 3,657.08 is: 5,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.32 : 18,636.94 = 3,657.08 : x
  2. Step 2: Convert to fraction form
    12,423.32/18,636.94 = 3,657.08/x
  3. Step 3: Cross multiply
    12,423.32x = 18,636.94 × 3,657.08
  4. Step 4: Simplify right side
    12,423.32x = 68,156,780.54
  5. Step 5: Solve for x
    x = 68,156,780.54/12,423.32
  6. Step 6: Final answer
    x = 5,486.20

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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.