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Finding the Fourth Proportional to 16,882.38, 23,295.06 and 9,807.60

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Solution

The fourth proportional to 16,882.38, 23,295.06 and 9,807.60 is: 13,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.38 : 23,295.06 = 9,807.60 : x
  2. Step 2: Convert to fraction form
    16,882.38/23,295.06 = 9,807.60/x
  3. Step 3: Cross multiply
    16,882.38x = 23,295.06 × 9,807.60
  4. Step 4: Simplify right side
    16,882.38x = 228,468,630.46
  5. Step 5: Solve for x
    x = 228,468,630.46/16,882.38
  6. Step 6: Final answer
    x = 13,532.96

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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.