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Finding the Fourth Proportional to 27,549, 38,026.62 and 16,218.36

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Solution

The fourth proportional to 27,549, 38,026.62 and 16,218.36 is: 22,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549 : 38,026.62 = 16,218.36 : x
  2. Step 2: Convert to fraction form
    27,549/38,026.62 = 16,218.36/x
  3. Step 3: Cross multiply
    27,549x = 38,026.62 × 16,218.36
  4. Step 4: Simplify right side
    27,549x = 616,729,412.74
  5. Step 5: Solve for x
    x = 616,729,412.74/27,549
  6. Step 6: Final answer
    x = 22,386.64

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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.