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Finding the Fourth Proportional to 17,611.38, 24,303.66 and 10,537.80

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Solution

The fourth proportional to 17,611.38, 24,303.66 and 10,537.80 is: 14,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611.38 : 24,303.66 = 10,537.80 : x
  2. Step 2: Convert to fraction form
    17,611.38/24,303.66 = 10,537.80/x
  3. Step 3: Cross multiply
    17,611.38x = 24,303.66 × 10,537.80
  4. Step 4: Simplify right side
    17,611.38x = 256,107,108.35
  5. Step 5: Solve for x
    x = 256,107,108.35/17,611.38
  6. Step 6: Final answer
    x = 14,542.14

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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.