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Finding the Fourth Proportional to 17,709.12, 24,438.38 and 9,751.19

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Solution

The fourth proportional to 17,709.12, 24,438.38 and 9,751.19 is: 13,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.12 : 24,438.38 = 9,751.19 : x
  2. Step 2: Convert to fraction form
    17,709.12/24,438.38 = 9,751.19/x
  3. Step 3: Cross multiply
    17,709.12x = 24,438.38 × 9,751.19
  4. Step 4: Simplify right side
    17,709.12x = 238,303,115.72
  5. Step 5: Solve for x
    x = 238,303,115.72/17,709.12
  6. Step 6: Final answer
    x = 13,456.52

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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.