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Finding the Fourth Proportional to 16,582.56, 24,873.03 and 6,193.50

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Solution

The fourth proportional to 16,582.56, 24,873.03 and 6,193.50 is: 9,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.56 : 24,873.03 = 6,193.50 : x
  2. Step 2: Convert to fraction form
    16,582.56/24,873.03 = 6,193.50/x
  3. Step 3: Cross multiply
    16,582.56x = 24,873.03 × 6,193.50
  4. Step 4: Simplify right side
    16,582.56x = 154,051,111.31
  5. Step 5: Solve for x
    x = 154,051,111.31/16,582.56
  6. Step 6: Final answer
    x = 9,289.95

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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.