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Finding the Fourth Proportional to 27,894.76, 38,497.90 and 16,567

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Solution

The fourth proportional to 27,894.76, 38,497.90 and 16,567 is: 22,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.76 : 38,497.90 = 16,567 : x
  2. Step 2: Convert to fraction form
    27,894.76/38,497.90 = 16,567/x
  3. Step 3: Cross multiply
    27,894.76x = 38,497.90 × 16,567
  4. Step 4: Simplify right side
    27,894.76x = 637,794,709.30
  5. Step 5: Solve for x
    x = 637,794,709.30/27,894.76
  6. Step 6: Final answer
    x = 22,864.32

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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.