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Finding the Fourth Proportional to 13,323.20, 20,013.60 and 12,833.60

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Solution

The fourth proportional to 13,323.20, 20,013.60 and 12,833.60 is: 19,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.20 : 20,013.60 = 12,833.60 : x
  2. Step 2: Convert to fraction form
    13,323.20/20,013.60 = 12,833.60/x
  3. Step 3: Cross multiply
    13,323.20x = 20,013.60 × 12,833.60
  4. Step 4: Simplify right side
    13,323.20x = 256,846,536.96
  5. Step 5: Solve for x
    x = 256,846,536.96/13,323.20
  6. Step 6: Final answer
    x = 19,278.14

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1.5x scale

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.