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Finding the Fourth Proportional to 17,362.50, 26,048.31 and 7,508.70

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Solution

The fourth proportional to 17,362.50, 26,048.31 and 7,508.70 is: 11,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,362.50 : 26,048.31 = 7,508.70 : x
  2. Step 2: Convert to fraction form
    17,362.50/26,048.31 = 7,508.70/x
  3. Step 3: Cross multiply
    17,362.50x = 26,048.31 × 7,508.70
  4. Step 4: Simplify right side
    17,362.50x = 195,588,938.26
  5. Step 5: Solve for x
    x = 195,588,938.26/17,362.50
  6. Step 6: Final answer
    x = 11,265.02

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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.