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Finding the Fourth Proportional to 16,582.66, 24,882.63 and 7,346.50

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Solution

The fourth proportional to 16,582.66, 24,882.63 and 7,346.50 is: 11,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.66 : 24,882.63 = 7,346.50 : x
  2. Step 2: Convert to fraction form
    16,582.66/24,882.63 = 7,346.50/x
  3. Step 3: Cross multiply
    16,582.66x = 24,882.63 × 7,346.50
  4. Step 4: Simplify right side
    16,582.66x = 182,800,241.30
  5. Step 5: Solve for x
    x = 182,800,241.30/16,582.66
  6. Step 6: Final answer
    x = 11,023.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.