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Finding the Fourth Proportional to 17,271, 23,835.06 and 9,819

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Solution

The fourth proportional to 17,271, 23,835.06 and 9,819 is: 13,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271 : 23,835.06 = 9,819 : x
  2. Step 2: Convert to fraction form
    17,271/23,835.06 = 9,819/x
  3. Step 3: Cross multiply
    17,271x = 23,835.06 × 9,819
  4. Step 4: Simplify right side
    17,271x = 234,036,454.14
  5. Step 5: Solve for x
    x = 234,036,454.14/17,271
  6. Step 6: Final answer
    x = 13,550.83

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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.