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Finding the Fourth Proportional to 12,467.81, 17,209.16 and 7,368.05

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Solution

The fourth proportional to 12,467.81, 17,209.16 and 7,368.05 is: 10,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.81 : 17,209.16 = 7,368.05 : x
  2. Step 2: Convert to fraction form
    12,467.81/17,209.16 = 7,368.05/x
  3. Step 3: Cross multiply
    12,467.81x = 17,209.16 × 7,368.05
  4. Step 4: Simplify right side
    12,467.81x = 126,797,914.50
  5. Step 5: Solve for x
    x = 126,797,914.50/12,467.81
  6. Step 6: Final answer
    x = 10,170.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.