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Finding the Fourth Proportional to 16,582.32, 22,882.92 and 9,028.50

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Solution

The fourth proportional to 16,582.32, 22,882.92 and 9,028.50 is: 12,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.32 : 22,882.92 = 9,028.50 : x
  2. Step 2: Convert to fraction form
    16,582.32/22,882.92 = 9,028.50/x
  3. Step 3: Cross multiply
    16,582.32x = 22,882.92 × 9,028.50
  4. Step 4: Simplify right side
    16,582.32x = 206,598,443.22
  5. Step 5: Solve for x
    x = 206,598,443.22/16,582.32
  6. Step 6: Final answer
    x = 12,458.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.