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Finding the Fourth Proportional to 12,312.26, 18,471.29 and 3,992.28

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Solution

The fourth proportional to 12,312.26, 18,471.29 and 3,992.28 is: 5,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.26 : 18,471.29 = 3,992.28 : x
  2. Step 2: Convert to fraction form
    12,312.26/18,471.29 = 3,992.28/x
  3. Step 3: Cross multiply
    12,312.26x = 18,471.29 × 3,992.28
  4. Step 4: Simplify right side
    12,312.26x = 73,742,561.64
  5. Step 5: Solve for x
    x = 73,742,561.64/12,312.26
  6. Step 6: Final answer
    x = 5,989.36

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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.