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Finding the Fourth Proportional to 14,157.47, 21,245.78 and 5,392.16

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Solution

The fourth proportional to 14,157.47, 21,245.78 and 5,392.16 is: 8,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.47 : 21,245.78 = 5,392.16 : x
  2. Step 2: Convert to fraction form
    14,157.47/21,245.78 = 5,392.16/x
  3. Step 3: Cross multiply
    14,157.47x = 21,245.78 × 5,392.16
  4. Step 4: Simplify right side
    14,157.47x = 114,560,645.08
  5. Step 5: Solve for x
    x = 114,560,645.08/14,157.47
  6. Step 6: Final answer
    x = 8,091.89

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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.