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Finding the Fourth Proportional to 12,426.34, 18,633.12 and 3,660.10

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Solution

The fourth proportional to 12,426.34, 18,633.12 and 3,660.10 is: 5,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.34 : 18,633.12 = 3,660.10 : x
  2. Step 2: Convert to fraction form
    12,426.34/18,633.12 = 3,660.10/x
  3. Step 3: Cross multiply
    12,426.34x = 18,633.12 × 3,660.10
  4. Step 4: Simplify right side
    12,426.34x = 68,199,082.51
  5. Step 5: Solve for x
    x = 68,199,082.51/12,426.34
  6. Step 6: Final answer
    x = 5,488.27

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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.