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Finding the Fourth Proportional to 12,214.32, 18,322.25 and 3,449.91

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Solution

The fourth proportional to 12,214.32, 18,322.25 and 3,449.91 is: 5,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.32 : 18,322.25 = 3,449.91 : x
  2. Step 2: Convert to fraction form
    12,214.32/18,322.25 = 3,449.91/x
  3. Step 3: Cross multiply
    12,214.32x = 18,322.25 × 3,449.91
  4. Step 4: Simplify right side
    12,214.32x = 63,210,096.25
  5. Step 5: Solve for x
    x = 63,210,096.25/12,214.32
  6. Step 6: Final answer
    x = 5,175.08

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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.