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Finding the Fourth Proportional to 16,842.67, 23,243.04 and 9,289.30

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Solution

The fourth proportional to 16,842.67, 23,243.04 and 9,289.30 is: 12,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.67 : 23,243.04 = 9,289.30 : x
  2. Step 2: Convert to fraction form
    16,842.67/23,243.04 = 9,289.30/x
  3. Step 3: Cross multiply
    16,842.67x = 23,243.04 × 9,289.30
  4. Step 4: Simplify right side
    16,842.67x = 215,911,571.47
  5. Step 5: Solve for x
    x = 215,911,571.47/16,842.67
  6. Step 6: Final answer
    x = 12,819.32

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1.5x scale

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.