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Finding the Fourth Proportional to 14,519.80, 21,782.54 and 4,658.32

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Solution

The fourth proportional to 14,519.80, 21,782.54 and 4,658.32 is: 6,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.80 : 21,782.54 = 4,658.32 : x
  2. Step 2: Convert to fraction form
    14,519.80/21,782.54 = 4,658.32/x
  3. Step 3: Cross multiply
    14,519.80x = 21,782.54 × 4,658.32
  4. Step 4: Simplify right side
    14,519.80x = 101,469,963.98
  5. Step 5: Solve for x
    x = 101,469,963.98/14,519.80
  6. Step 6: Final answer
    x = 6,988.39

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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.