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Finding the Fourth Proportional to 17,378, 26,042.52 and 7,509.68

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Solution

The fourth proportional to 17,378, 26,042.52 and 7,509.68 is: 11,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378 : 26,042.52 = 7,509.68 : x
  2. Step 2: Convert to fraction form
    17,378/26,042.52 = 7,509.68/x
  3. Step 3: Cross multiply
    17,378x = 26,042.52 × 7,509.68
  4. Step 4: Simplify right side
    17,378x = 195,570,991.59
  5. Step 5: Solve for x
    x = 195,570,991.59/17,378
  6. Step 6: Final answer
    x = 11,253.94

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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.