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Finding the Fourth Proportional to 17,500, 26,262.16 and 7,111.76

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Solution

The fourth proportional to 17,500, 26,262.16 and 7,111.76 is: 10,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500 : 26,262.16 = 7,111.76 : x
  2. Step 2: Convert to fraction form
    17,500/26,262.16 = 7,111.76/x
  3. Step 3: Cross multiply
    17,500x = 26,262.16 × 7,111.76
  4. Step 4: Simplify right side
    17,500x = 186,770,179.00
  5. Step 5: Solve for x
    x = 186,770,179.00/17,500
  6. Step 6: Final answer
    x = 10,672.58

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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.