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Finding the Fourth Proportional to 17,768.28, 26,668.74 and 9,009.48

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Solution

The fourth proportional to 17,768.28, 26,668.74 and 9,009.48 is: 13,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.28 : 26,668.74 = 9,009.48 : x
  2. Step 2: Convert to fraction form
    17,768.28/26,668.74 = 9,009.48/x
  3. Step 3: Cross multiply
    17,768.28x = 26,668.74 × 9,009.48
  4. Step 4: Simplify right side
    17,768.28x = 240,271,479.66
  5. Step 5: Solve for x
    x = 240,271,479.66/17,768.28
  6. Step 6: Final answer
    x = 13,522.50

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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.