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Finding the Fourth Proportional to 17,182.65, 25,749.66 and 7,311.99

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Solution

The fourth proportional to 17,182.65, 25,749.66 and 7,311.99 is: 10,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.65 : 25,749.66 = 7,311.99 : x
  2. Step 2: Convert to fraction form
    17,182.65/25,749.66 = 7,311.99/x
  3. Step 3: Cross multiply
    17,182.65x = 25,749.66 × 7,311.99
  4. Step 4: Simplify right side
    17,182.65x = 188,281,256.42
  5. Step 5: Solve for x
    x = 188,281,256.42/17,182.65
  6. Step 6: Final answer
    x = 10,957.64

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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.