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Finding the Fourth Proportional to 14,654.88, 21,977.68 and 4,791.88

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Solution

The fourth proportional to 14,654.88, 21,977.68 and 4,791.88 is: 7,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.88 : 21,977.68 = 4,791.88 : x
  2. Step 2: Convert to fraction form
    14,654.88/21,977.68 = 4,791.88/x
  3. Step 3: Cross multiply
    14,654.88x = 21,977.68 × 4,791.88
  4. Step 4: Simplify right side
    14,654.88x = 105,314,405.24
  5. Step 5: Solve for x
    x = 105,314,405.24/14,654.88
  6. Step 6: Final answer
    x = 7,186.30

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Why These Related Problems?

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