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Finding the Fourth Proportional to 27,984.94, 38,607.43 and 18,537.10

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Solution

The fourth proportional to 27,984.94, 38,607.43 and 18,537.10 is: 25,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.94 : 38,607.43 = 18,537.10 : x
  2. Step 2: Convert to fraction form
    27,984.94/38,607.43 = 18,537.10/x
  3. Step 3: Cross multiply
    27,984.94x = 38,607.43 × 18,537.10
  4. Step 4: Simplify right side
    27,984.94x = 715,669,790.65
  5. Step 5: Solve for x
    x = 715,669,790.65/27,984.94
  6. Step 6: Final answer
    x = 25,573.39

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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.