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Finding the Fourth Proportional to 28,206, 38,913.21 and 18,132.84

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Solution

The fourth proportional to 28,206, 38,913.21 and 18,132.84 is: 25,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206 : 38,913.21 = 18,132.84 : x
  2. Step 2: Convert to fraction form
    28,206/38,913.21 = 18,132.84/x
  3. Step 3: Cross multiply
    28,206x = 38,913.21 × 18,132.84
  4. Step 4: Simplify right side
    28,206x = 705,607,010.82
  5. Step 5: Solve for x
    x = 705,607,010.82/28,206
  6. Step 6: Final answer
    x = 25,016.20

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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.