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Finding the Fourth Proportional to 17,343, 24,032.25 and 16,289.60

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Solution

The fourth proportional to 17,343, 24,032.25 and 16,289.60 is: 22,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343 : 24,032.25 = 16,289.60 : x
  2. Step 2: Convert to fraction form
    17,343/24,032.25 = 16,289.60/x
  3. Step 3: Cross multiply
    17,343x = 24,032.25 × 16,289.60
  4. Step 4: Simplify right side
    17,343x = 391,475,619.44
  5. Step 5: Solve for x
    x = 391,475,619.44/17,343
  6. Step 6: Final answer
    x = 22,572.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.