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Finding the Fourth Proportional to 15,227.54, 22,825.76 and 8,639.81

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Solution

The fourth proportional to 15,227.54, 22,825.76 and 8,639.81 is: 12,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.54 : 22,825.76 = 8,639.81 : x
  2. Step 2: Convert to fraction form
    15,227.54/22,825.76 = 8,639.81/x
  3. Step 3: Cross multiply
    15,227.54x = 22,825.76 × 8,639.81
  4. Step 4: Simplify right side
    15,227.54x = 197,210,243.37
  5. Step 5: Solve for x
    x = 197,210,243.37/15,227.54
  6. Step 6: Final answer
    x = 12,950.89

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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.