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Finding the Fourth Proportional to 27,486.69, 37,935.71 and 17,416.07

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Solution

The fourth proportional to 27,486.69, 37,935.71 and 17,416.07 is: 24,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,486.69 : 37,935.71 = 17,416.07 : x
  2. Step 2: Convert to fraction form
    27,486.69/37,935.71 = 17,416.07/x
  3. Step 3: Cross multiply
    27,486.69x = 37,935.71 × 17,416.07
  4. Step 4: Simplify right side
    27,486.69x = 660,690,997.56
  5. Step 5: Solve for x
    x = 660,690,997.56/27,486.69
  6. Step 6: Final answer
    x = 24,036.76

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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.