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Finding the Fourth Proportional to 17,758.07, 24,495.79 and 11,382.39

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Solution

The fourth proportional to 17,758.07, 24,495.79 and 11,382.39 is: 15,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.07 : 24,495.79 = 11,382.39 : x
  2. Step 2: Convert to fraction form
    17,758.07/24,495.79 = 11,382.39/x
  3. Step 3: Cross multiply
    17,758.07x = 24,495.79 × 11,382.39
  4. Step 4: Simplify right side
    17,758.07x = 278,820,635.14
  5. Step 5: Solve for x
    x = 278,820,635.14/17,758.07
  6. Step 6: Final answer
    x = 15,701.07

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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.