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Finding the Fourth Proportional to 27,833, 38,409.68 and 16,655

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Solution

The fourth proportional to 27,833, 38,409.68 and 16,655 is: 22,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833 : 38,409.68 = 16,655 : x
  2. Step 2: Convert to fraction form
    27,833/38,409.68 = 16,655/x
  3. Step 3: Cross multiply
    27,833x = 38,409.68 × 16,655
  4. Step 4: Simplify right side
    27,833x = 639,713,137.13
  5. Step 5: Solve for x
    x = 639,713,137.13/27,833
  6. Step 6: Final answer
    x = 22,983.98

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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.