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Finding the Fourth Proportional to 22,845.10, 34,202 and 16,881.88

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Solution

The fourth proportional to 22,845.10, 34,202 and 16,881.88 is: 25,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,845.10 : 34,202 = 16,881.88 : x
  2. Step 2: Convert to fraction form
    22,845.10/34,202 = 16,881.88/x
  3. Step 3: Cross multiply
    22,845.10x = 34,202 × 16,881.88
  4. Step 4: Simplify right side
    22,845.10x = 577,394,059.76
  5. Step 5: Solve for x
    x = 577,394,059.76/22,845.10
  6. Step 6: Final answer
    x = 25,274.31

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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.