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Finding the Fourth Proportional to 27,874.02, 38,468.04 and 15,774.51

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Solution

The fourth proportional to 27,874.02, 38,468.04 and 15,774.51 is: 21,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.02 : 38,468.04 = 15,774.51 : x
  2. Step 2: Convert to fraction form
    27,874.02/38,468.04 = 15,774.51/x
  3. Step 3: Cross multiply
    27,874.02x = 38,468.04 × 15,774.51
  4. Step 4: Simplify right side
    27,874.02x = 606,814,385.49
  5. Step 5: Solve for x
    x = 606,814,385.49/27,874.02
  6. Step 6: Final answer
    x = 21,769.89

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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.