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Finding the Fourth Proportional to 12,416.63, 18,626.99 and 4,097.12

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Solution

The fourth proportional to 12,416.63, 18,626.99 and 4,097.12 is: 6,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.63 : 18,626.99 = 4,097.12 : x
  2. Step 2: Convert to fraction form
    12,416.63/18,626.99 = 4,097.12/x
  3. Step 3: Cross multiply
    12,416.63x = 18,626.99 × 4,097.12
  4. Step 4: Simplify right side
    12,416.63x = 76,316,899.65
  5. Step 5: Solve for x
    x = 76,316,899.65/12,416.63
  6. Step 6: Final answer
    x = 6,146.35

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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.