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Finding the Fourth Proportional to 17,596, 26,400.48 and 9,275.68

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Solution

The fourth proportional to 17,596, 26,400.48 and 9,275.68 is: 13,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596 : 26,400.48 = 9,275.68 : x
  2. Step 2: Convert to fraction form
    17,596/26,400.48 = 9,275.68/x
  3. Step 3: Cross multiply
    17,596x = 26,400.48 × 9,275.68
  4. Step 4: Simplify right side
    17,596x = 244,882,404.33
  5. Step 5: Solve for x
    x = 244,882,404.33/17,596
  6. Step 6: Final answer
    x = 13,916.94

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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.