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Finding the Fourth Proportional to 21,770.14, 30,049 and 12,822.80

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Solution

The fourth proportional to 21,770.14, 30,049 and 12,822.80 is: 17,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.14 : 30,049 = 12,822.80 : x
  2. Step 2: Convert to fraction form
    21,770.14/30,049 = 12,822.80/x
  3. Step 3: Cross multiply
    21,770.14x = 30,049 × 12,822.80
  4. Step 4: Simplify right side
    21,770.14x = 385,312,317.20
  5. Step 5: Solve for x
    x = 385,312,317.20/21,770.14
  6. Step 6: Final answer
    x = 17,699.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.