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Finding the Fourth Proportional to 12,315.68, 18,473.62 and 4,922

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Solution

The fourth proportional to 12,315.68, 18,473.62 and 4,922 is: 7,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.68 : 18,473.62 = 4,922 : x
  2. Step 2: Convert to fraction form
    12,315.68/18,473.62 = 4,922/x
  3. Step 3: Cross multiply
    12,315.68x = 18,473.62 × 4,922
  4. Step 4: Simplify right side
    12,315.68x = 90,927,157.64
  5. Step 5: Solve for x
    x = 90,927,157.64/12,315.68
  6. Step 6: Final answer
    x = 7,383.04

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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.