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Finding the Fourth Proportional to 16,385.10, 24,582.86 and 6,902.43

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Solution

The fourth proportional to 16,385.10, 24,582.86 and 6,902.43 is: 10,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.10 : 24,582.86 = 6,902.43 : x
  2. Step 2: Convert to fraction form
    16,385.10/24,582.86 = 6,902.43/x
  3. Step 3: Cross multiply
    16,385.10x = 24,582.86 × 6,902.43
  4. Step 4: Simplify right side
    16,385.10x = 169,681,369.54
  5. Step 5: Solve for x
    x = 169,681,369.54/16,385.10
  6. Step 6: Final answer
    x = 10,355.84

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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.