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Finding the Fourth Proportional to 27,884.51, 38,478.06 and 16,552.07

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Solution

The fourth proportional to 27,884.51, 38,478.06 and 16,552.07 is: 22,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.51 : 38,478.06 = 16,552.07 : x
  2. Step 2: Convert to fraction form
    27,884.51/38,478.06 = 16,552.07/x
  3. Step 3: Cross multiply
    27,884.51x = 38,478.06 × 16,552.07
  4. Step 4: Simplify right side
    27,884.51x = 636,891,542.58
  5. Step 5: Solve for x
    x = 636,891,542.58/27,884.51
  6. Step 6: Final answer
    x = 22,840.33

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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.