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Finding the Fourth Proportional to 17,463, 26,199.54 and 5,151

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Solution

The fourth proportional to 17,463, 26,199.54 and 5,151 is: 7,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463 : 26,199.54 = 5,151 : x
  2. Step 2: Convert to fraction form
    17,463/26,199.54 = 5,151/x
  3. Step 3: Cross multiply
    17,463x = 26,199.54 × 5,151
  4. Step 4: Simplify right side
    17,463x = 134,953,830.54
  5. Step 5: Solve for x
    x = 134,953,830.54/17,463
  6. Step 6: Final answer
    x = 7,727.99

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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.