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Finding the Fourth Proportional to 21,874.98, 30,202 and 16,830.30

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Solution

The fourth proportional to 21,874.98, 30,202 and 16,830.30 is: 23,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.98 : 30,202 = 16,830.30 : x
  2. Step 2: Convert to fraction form
    21,874.98/30,202 = 16,830.30/x
  3. Step 3: Cross multiply
    21,874.98x = 30,202 × 16,830.30
  4. Step 4: Simplify right side
    21,874.98x = 508,308,720.60
  5. Step 5: Solve for x
    x = 508,308,720.60/21,874.98
  6. Step 6: Final answer
    x = 23,236.99

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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.