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Finding the Fourth Proportional to 27,884.68, 38,443.62 and 23,888.68

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Solution

The fourth proportional to 27,884.68, 38,443.62 and 23,888.68 is: 32,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.68 : 38,443.62 = 23,888.68 : x
  2. Step 2: Convert to fraction form
    27,884.68/38,443.62 = 23,888.68/x
  3. Step 3: Cross multiply
    27,884.68x = 38,443.62 × 23,888.68
  4. Step 4: Simplify right side
    27,884.68x = 918,367,336.22
  5. Step 5: Solve for x
    x = 918,367,336.22/27,884.68
  6. Step 6: Final answer
    x = 32,934.48

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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.