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Finding the Fourth Proportional to 13,672.92, 20,509.38 and 9,784.92

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Solution

The fourth proportional to 13,672.92, 20,509.38 and 9,784.92 is: 14,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.92 : 20,509.38 = 9,784.92 : x
  2. Step 2: Convert to fraction form
    13,672.92/20,509.38 = 9,784.92/x
  3. Step 3: Cross multiply
    13,672.92x = 20,509.38 × 9,784.92
  4. Step 4: Simplify right side
    13,672.92x = 200,682,642.55
  5. Step 5: Solve for x
    x = 200,682,642.55/13,672.92
  6. Step 6: Final answer
    x = 14,677.38

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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.