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Finding the Fourth Proportional to 17,209.80, 25,814.70 and 6,821.52

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Solution

The fourth proportional to 17,209.80, 25,814.70 and 6,821.52 is: 10,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.80 : 25,814.70 = 6,821.52 : x
  2. Step 2: Convert to fraction form
    17,209.80/25,814.70 = 6,821.52/x
  3. Step 3: Cross multiply
    17,209.80x = 25,814.70 × 6,821.52
  4. Step 4: Simplify right side
    17,209.80x = 176,095,492.34
  5. Step 5: Solve for x
    x = 176,095,492.34/17,209.80
  6. Step 6: Final answer
    x = 10,232.28

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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.