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Finding the Fourth Proportional to 17,460, 26,194.32 and 5,148

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Solution

The fourth proportional to 17,460, 26,194.32 and 5,148 is: 7,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460 : 26,194.32 = 5,148 : x
  2. Step 2: Convert to fraction form
    17,460/26,194.32 = 5,148/x
  3. Step 3: Cross multiply
    17,460x = 26,194.32 × 5,148
  4. Step 4: Simplify right side
    17,460x = 134,848,359.36
  5. Step 5: Solve for x
    x = 134,848,359.36/17,460
  6. Step 6: Final answer
    x = 7,723.27

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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.