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Finding the Fourth Proportional to 14,768.89, 20,381.23 and 8,054.46

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Solution

The fourth proportional to 14,768.89, 20,381.23 and 8,054.46 is: 11,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.89 : 20,381.23 = 8,054.46 : x
  2. Step 2: Convert to fraction form
    14,768.89/20,381.23 = 8,054.46/x
  3. Step 3: Cross multiply
    14,768.89x = 20,381.23 × 8,054.46
  4. Step 4: Simplify right side
    14,768.89x = 164,159,832.60
  5. Step 5: Solve for x
    x = 164,159,832.60/14,768.89
  6. Step 6: Final answer
    x = 11,115.25

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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.