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Finding the Fourth Proportional to 16,540, 22,825.20 and 9,088

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Solution

The fourth proportional to 16,540, 22,825.20 and 9,088 is: 12,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540 : 22,825.20 = 9,088 : x
  2. Step 2: Convert to fraction form
    16,540/22,825.20 = 9,088/x
  3. Step 3: Cross multiply
    16,540x = 22,825.20 × 9,088
  4. Step 4: Simplify right side
    16,540x = 207,435,417.60
  5. Step 5: Solve for x
    x = 207,435,417.60/16,540
  6. Step 6: Final answer
    x = 12,541.44

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Why These Related Problems?

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