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Finding the Fourth Proportional to 21,075.80, 31,613.09 and 5,493.42

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Solution

The fourth proportional to 21,075.80, 31,613.09 and 5,493.42 is: 8,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.80 : 31,613.09 = 5,493.42 : x
  2. Step 2: Convert to fraction form
    21,075.80/31,613.09 = 5,493.42/x
  3. Step 3: Cross multiply
    21,075.80x = 31,613.09 × 5,493.42
  4. Step 4: Simplify right side
    21,075.80x = 173,663,953.40
  5. Step 5: Solve for x
    x = 173,663,953.40/21,075.80
  6. Step 6: Final answer
    x = 8,239.97

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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.