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Finding the Fourth Proportional to 27,724, 38,259.12 and 16,546

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Solution

The fourth proportional to 27,724, 38,259.12 and 16,546 is: 22,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 38,259.12 = 16,546 : x
  2. Step 2: Convert to fraction form
    27,724/38,259.12 = 16,546/x
  3. Step 3: Cross multiply
    27,724x = 38,259.12 × 16,546
  4. Step 4: Simplify right side
    27,724x = 633,035,399.52
  5. Step 5: Solve for x
    x = 633,035,399.52/27,724
  6. Step 6: Final answer
    x = 22,833.48

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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.