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Finding the Fourth Proportional to 14,519.10, 21,765.76 and 5,157.89

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Solution

The fourth proportional to 14,519.10, 21,765.76 and 5,157.89 is: 7,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.10 : 21,765.76 = 5,157.89 : x
  2. Step 2: Convert to fraction form
    14,519.10/21,765.76 = 5,157.89/x
  3. Step 3: Cross multiply
    14,519.10x = 21,765.76 × 5,157.89
  4. Step 4: Simplify right side
    14,519.10x = 112,265,355.74
  5. Step 5: Solve for x
    x = 112,265,355.74/14,519.10
  6. Step 6: Final answer
    x = 7,732.25

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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.