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Finding the Fourth Proportional to 16,403.43, 24,596.98 and 6,402.21

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Solution

The fourth proportional to 16,403.43, 24,596.98 and 6,402.21 is: 9,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.43 : 24,596.98 = 6,402.21 : x
  2. Step 2: Convert to fraction form
    16,403.43/24,596.98 = 6,402.21/x
  3. Step 3: Cross multiply
    16,403.43x = 24,596.98 × 6,402.21
  4. Step 4: Simplify right side
    16,403.43x = 157,474,959.09
  5. Step 5: Solve for x
    x = 157,474,959.09/16,403.43
  6. Step 6: Final answer
    x = 9,600.12

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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.