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Finding the Fourth Proportional to 14,902.06, 20,564.82 and 8,187.86

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Solution

The fourth proportional to 14,902.06, 20,564.82 and 8,187.86 is: 11,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.06 : 20,564.82 = 8,187.86 : x
  2. Step 2: Convert to fraction form
    14,902.06/20,564.82 = 8,187.86/x
  3. Step 3: Cross multiply
    14,902.06x = 20,564.82 × 8,187.86
  4. Step 4: Simplify right side
    14,902.06x = 168,381,867.09
  5. Step 5: Solve for x
    x = 168,381,867.09/14,902.06
  6. Step 6: Final answer
    x = 11,299.23

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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.