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Finding the Fourth Proportional to 12,416.95, 18,626.71 and 3,980.49

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Solution

The fourth proportional to 12,416.95, 18,626.71 and 3,980.49 is: 5,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.95 : 18,626.71 = 3,980.49 : x
  2. Step 2: Convert to fraction form
    12,416.95/18,626.71 = 3,980.49/x
  3. Step 3: Cross multiply
    12,416.95x = 18,626.71 × 3,980.49
  4. Step 4: Simplify right side
    12,416.95x = 74,143,339.75
  5. Step 5: Solve for x
    x = 74,143,339.75/12,416.95
  6. Step 6: Final answer
    x = 5,971.14

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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.