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Finding the Fourth Proportional to 21,910.96, 30,226.56 and 14,354

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Solution

The fourth proportional to 21,910.96, 30,226.56 and 14,354 is: 19,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.96 : 30,226.56 = 14,354 : x
  2. Step 2: Convert to fraction form
    21,910.96/30,226.56 = 14,354/x
  3. Step 3: Cross multiply
    21,910.96x = 30,226.56 × 14,354
  4. Step 4: Simplify right side
    21,910.96x = 433,872,042.24
  5. Step 5: Solve for x
    x = 433,872,042.24/21,910.96
  6. Step 6: Final answer
    x = 19,801.60

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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.