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Finding the Fourth Proportional to 17,733.30, 24,471.04 and 9,774.04

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Solution

The fourth proportional to 17,733.30, 24,471.04 and 9,774.04 is: 13,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.30 : 24,471.04 = 9,774.04 : x
  2. Step 2: Convert to fraction form
    17,733.30/24,471.04 = 9,774.04/x
  3. Step 3: Cross multiply
    17,733.30x = 24,471.04 × 9,774.04
  4. Step 4: Simplify right side
    17,733.30x = 239,180,923.80
  5. Step 5: Solve for x
    x = 239,180,923.80/17,733.30
  6. Step 6: Final answer
    x = 13,487.67

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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.