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Finding the Fourth Proportional to 17,225.70, 25,813.88 and 9,814.85

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Solution

The fourth proportional to 17,225.70, 25,813.88 and 9,814.85 is: 14,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.70 : 25,813.88 = 9,814.85 : x
  2. Step 2: Convert to fraction form
    17,225.70/25,813.88 = 9,814.85/x
  3. Step 3: Cross multiply
    17,225.70x = 25,813.88 × 9,814.85
  4. Step 4: Simplify right side
    17,225.70x = 253,359,360.12
  5. Step 5: Solve for x
    x = 253,359,360.12/17,225.70
  6. Step 6: Final answer
    x = 14,708.22

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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.