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Finding the Fourth Proportional to 17,648, 26,472.64 and 5,336

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Solution

The fourth proportional to 17,648, 26,472.64 and 5,336 is: 8,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648 : 26,472.64 = 5,336 : x
  2. Step 2: Convert to fraction form
    17,648/26,472.64 = 5,336/x
  3. Step 3: Cross multiply
    17,648x = 26,472.64 × 5,336
  4. Step 4: Simplify right side
    17,648x = 141,258,007.04
  5. Step 5: Solve for x
    x = 141,258,007.04/17,648
  6. Step 6: Final answer
    x = 8,004.19

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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.