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Finding the Fourth Proportional to 28,098.27, 38,776.40 and 15,523.83

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Solution

The fourth proportional to 28,098.27, 38,776.40 and 15,523.83 is: 21,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,098.27 : 38,776.40 = 15,523.83 : x
  2. Step 2: Convert to fraction form
    28,098.27/38,776.40 = 15,523.83/x
  3. Step 3: Cross multiply
    28,098.27x = 38,776.40 × 15,523.83
  4. Step 4: Simplify right side
    28,098.27x = 601,958,163.99
  5. Step 5: Solve for x
    x = 601,958,163.99/28,098.27
  6. Step 6: Final answer
    x = 21,423.32

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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.