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Finding the Fourth Proportional to 15,226.86, 22,851.83 and 6,467.92

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Solution

The fourth proportional to 15,226.86, 22,851.83 and 6,467.92 is: 9,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.86 : 22,851.83 = 6,467.92 : x
  2. Step 2: Convert to fraction form
    15,226.86/22,851.83 = 6,467.92/x
  3. Step 3: Cross multiply
    15,226.86x = 22,851.83 × 6,467.92
  4. Step 4: Simplify right side
    15,226.86x = 147,803,808.29
  5. Step 5: Solve for x
    x = 147,803,808.29/15,226.86
  6. Step 6: Final answer
    x = 9,706.78

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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.