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Finding the Fourth Proportional to 27,608.32, 38,094.40 and 16,281.42

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Solution

The fourth proportional to 27,608.32, 38,094.40 and 16,281.42 is: 22,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.32 : 38,094.40 = 16,281.42 : x
  2. Step 2: Convert to fraction form
    27,608.32/38,094.40 = 16,281.42/x
  3. Step 3: Cross multiply
    27,608.32x = 38,094.40 × 16,281.42
  4. Step 4: Simplify right side
    27,608.32x = 620,230,926.05
  5. Step 5: Solve for x
    x = 620,230,926.05/27,608.32
  6. Step 6: Final answer
    x = 22,465.36

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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.