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Finding the Fourth Proportional to 17,209.30, 25,821.41 and 9,317.42

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Solution

The fourth proportional to 17,209.30, 25,821.41 and 9,317.42 is: 13,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.30 : 25,821.41 = 9,317.42 : x
  2. Step 2: Convert to fraction form
    17,209.30/25,821.41 = 9,317.42/x
  3. Step 3: Cross multiply
    17,209.30x = 25,821.41 × 9,317.42
  4. Step 4: Simplify right side
    17,209.30x = 240,588,832.99
  5. Step 5: Solve for x
    x = 240,588,832.99/17,209.30
  6. Step 6: Final answer
    x = 13,980.17

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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.