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Finding the Fourth Proportional to 16,582.76, 24,858.50 and 8,254.89

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Solution

The fourth proportional to 16,582.76, 24,858.50 and 8,254.89 is: 12,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.76 : 24,858.50 = 8,254.89 : x
  2. Step 2: Convert to fraction form
    16,582.76/24,858.50 = 8,254.89/x
  3. Step 3: Cross multiply
    16,582.76x = 24,858.50 × 8,254.89
  4. Step 4: Simplify right side
    16,582.76x = 205,204,141.79
  5. Step 5: Solve for x
    x = 205,204,141.79/16,582.76
  6. Step 6: Final answer
    x = 12,374.55

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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.