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Finding the Fourth Proportional to 16,241.70, 22,402.05 and 10,566

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Solution

The fourth proportional to 16,241.70, 22,402.05 and 10,566 is: 14,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.70 : 22,402.05 = 10,566 : x
  2. Step 2: Convert to fraction form
    16,241.70/22,402.05 = 10,566/x
  3. Step 3: Cross multiply
    16,241.70x = 22,402.05 × 10,566
  4. Step 4: Simplify right side
    16,241.70x = 236,700,060.30
  5. Step 5: Solve for x
    x = 236,700,060.30/16,241.70
  6. Step 6: Final answer
    x = 14,573.60

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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.