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Finding the Fourth Proportional to 13,704.96, 20,560.46 and 4,347.84

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Solution

The fourth proportional to 13,704.96, 20,560.46 and 4,347.84 is: 6,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.96 : 20,560.46 = 4,347.84 : x
  2. Step 2: Convert to fraction form
    13,704.96/20,560.46 = 4,347.84/x
  3. Step 3: Cross multiply
    13,704.96x = 20,560.46 × 4,347.84
  4. Step 4: Simplify right side
    13,704.96x = 89,393,590.41
  5. Step 5: Solve for x
    x = 89,393,590.41/13,704.96
  6. Step 6: Final answer
    x = 6,522.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.