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Finding the Fourth Proportional to 12,538.07, 17,301.93 and 7,234.59

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Solution

The fourth proportional to 12,538.07, 17,301.93 and 7,234.59 is: 9,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.07 : 17,301.93 = 7,234.59 : x
  2. Step 2: Convert to fraction form
    12,538.07/17,301.93 = 7,234.59/x
  3. Step 3: Cross multiply
    12,538.07x = 17,301.93 × 7,234.59
  4. Step 4: Simplify right side
    12,538.07x = 125,172,369.76
  5. Step 5: Solve for x
    x = 125,172,369.76/12,538.07
  6. Step 6: Final answer
    x = 9,983.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.