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Finding the Fourth Proportional to 14,604.89, 21,891.53 and 5,830.16

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Solution

The fourth proportional to 14,604.89, 21,891.53 and 5,830.16 is: 8,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.89 : 21,891.53 = 5,830.16 : x
  2. Step 2: Convert to fraction form
    14,604.89/21,891.53 = 5,830.16/x
  3. Step 3: Cross multiply
    14,604.89x = 21,891.53 × 5,830.16
  4. Step 4: Simplify right side
    14,604.89x = 127,631,027.66
  5. Step 5: Solve for x
    x = 127,631,027.66/14,604.89
  6. Step 6: Final answer
    x = 8,738.93

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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.