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Finding the Fourth Proportional to 27,920.84, 38,530.96 and 15,174.07

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Solution

The fourth proportional to 27,920.84, 38,530.96 and 15,174.07 is: 20,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.84 : 38,530.96 = 15,174.07 : x
  2. Step 2: Convert to fraction form
    27,920.84/38,530.96 = 15,174.07/x
  3. Step 3: Cross multiply
    27,920.84x = 38,530.96 × 15,174.07
  4. Step 4: Simplify right side
    27,920.84x = 584,671,349.94
  5. Step 5: Solve for x
    x = 584,671,349.94/27,920.84
  6. Step 6: Final answer
    x = 20,940.32

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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.