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Finding the Fourth Proportional to 15,206.33, 20,984.53 and 8,492.08

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Solution

The fourth proportional to 15,206.33, 20,984.53 and 8,492.08 is: 11,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.33 : 20,984.53 = 8,492.08 : x
  2. Step 2: Convert to fraction form
    15,206.33/20,984.53 = 8,492.08/x
  3. Step 3: Cross multiply
    15,206.33x = 20,984.53 × 8,492.08
  4. Step 4: Simplify right side
    15,206.33x = 178,202,307.52
  5. Step 5: Solve for x
    x = 178,202,307.52/15,206.33
  6. Step 6: Final answer
    x = 11,718.96

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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.