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Finding the Fourth Proportional to 14,659.41, 20,224.44 and 8,992.38

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Solution

The fourth proportional to 14,659.41, 20,224.44 and 8,992.38 is: 12,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.41 : 20,224.44 = 8,992.38 : x
  2. Step 2: Convert to fraction form
    14,659.41/20,224.44 = 8,992.38/x
  3. Step 3: Cross multiply
    14,659.41x = 20,224.44 × 8,992.38
  4. Step 4: Simplify right side
    14,659.41x = 181,865,849.77
  5. Step 5: Solve for x
    x = 181,865,849.77/14,659.41
  6. Step 6: Final answer
    x = 12,406.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.