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Finding the Fourth Proportional to 14,728.96, 20,306.46 and 12,201.76

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Solution

The fourth proportional to 14,728.96, 20,306.46 and 12,201.76 is: 16,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.96 : 20,306.46 = 12,201.76 : x
  2. Step 2: Convert to fraction form
    14,728.96/20,306.46 = 12,201.76/x
  3. Step 3: Cross multiply
    14,728.96x = 20,306.46 × 12,201.76
  4. Step 4: Simplify right side
    14,728.96x = 247,774,551.37
  5. Step 5: Solve for x
    x = 247,774,551.37/14,728.96
  6. Step 6: Final answer
    x = 16,822.27

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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.