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Finding the Fourth Proportional to 14,693.72, 20,277.33 and 8,406.09

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Solution

The fourth proportional to 14,693.72, 20,277.33 and 8,406.09 is: 11,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.72 : 20,277.33 = 8,406.09 : x
  2. Step 2: Convert to fraction form
    14,693.72/20,277.33 = 8,406.09/x
  3. Step 3: Cross multiply
    14,693.72x = 20,277.33 × 8,406.09
  4. Step 4: Simplify right side
    14,693.72x = 170,453,060.94
  5. Step 5: Solve for x
    x = 170,453,060.94/14,693.72
  6. Step 6: Final answer
    x = 11,600.41

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