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Finding the Fourth Proportional to 16,402.90, 24,605.11 and 5,310.46

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Solution

The fourth proportional to 16,402.90, 24,605.11 and 5,310.46 is: 7,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.90 : 24,605.11 = 5,310.46 : x
  2. Step 2: Convert to fraction form
    16,402.90/24,605.11 = 5,310.46/x
  3. Step 3: Cross multiply
    16,402.90x = 24,605.11 × 5,310.46
  4. Step 4: Simplify right side
    16,402.90x = 130,664,452.45
  5. Step 5: Solve for x
    x = 130,664,452.45/16,402.90
  6. Step 6: Final answer
    x = 7,965.94

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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.