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Finding the Fourth Proportional to 14,677.80, 21,977.82 and 7,731.24

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Solution

The fourth proportional to 14,677.80, 21,977.82 and 7,731.24 is: 11,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.80 : 21,977.82 = 7,731.24 : x
  2. Step 2: Convert to fraction form
    14,677.80/21,977.82 = 7,731.24/x
  3. Step 3: Cross multiply
    14,677.80x = 21,977.82 × 7,731.24
  4. Step 4: Simplify right side
    14,677.80x = 169,915,801.10
  5. Step 5: Solve for x
    x = 169,915,801.10/14,677.80
  6. Step 6: Final answer
    x = 11,576.38

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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.