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Finding the Fourth Proportional to 27,362, 37,759.65 and 14,786.84

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Solution

The fourth proportional to 27,362, 37,759.65 and 14,786.84 is: 20,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362 : 37,759.65 = 14,786.84 : x
  2. Step 2: Convert to fraction form
    27,362/37,759.65 = 14,786.84/x
  3. Step 3: Cross multiply
    27,362x = 37,759.65 × 14,786.84
  4. Step 4: Simplify right side
    27,362x = 558,345,903.01
  5. Step 5: Solve for x
    x = 558,345,903.01/27,362
  6. Step 6: Final answer
    x = 20,405.89

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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.