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Finding the Fourth Proportional to 12,406.40, 18,572.64 and 8,011.04

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Solution

The fourth proportional to 12,406.40, 18,572.64 and 8,011.04 is: 11,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.40 : 18,572.64 = 8,011.04 : x
  2. Step 2: Convert to fraction form
    12,406.40/18,572.64 = 8,011.04/x
  3. Step 3: Cross multiply
    12,406.40x = 18,572.64 × 8,011.04
  4. Step 4: Simplify right side
    12,406.40x = 148,786,161.95
  5. Step 5: Solve for x
    x = 148,786,161.95/12,406.40
  6. Step 6: Final answer
    x = 11,992.69

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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.