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Finding the Fourth Proportional to 15,206.27, 20,984.44 and 8,492.02

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Solution

The fourth proportional to 15,206.27, 20,984.44 and 8,492.02 is: 11,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.27 : 20,984.44 = 8,492.02 : x
  2. Step 2: Convert to fraction form
    15,206.27/20,984.44 = 8,492.02/x
  3. Step 3: Cross multiply
    15,206.27x = 20,984.44 × 8,492.02
  4. Step 4: Simplify right side
    15,206.27x = 178,200,284.17
  5. Step 5: Solve for x
    x = 178,200,284.17/15,206.27
  6. Step 6: Final answer
    x = 11,718.87

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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.