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Finding the Fourth Proportional to 28,027.50, 38,678.03 and 15,280.82

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Solution

The fourth proportional to 28,027.50, 38,678.03 and 15,280.82 is: 21,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027.50 : 38,678.03 = 15,280.82 : x
  2. Step 2: Convert to fraction form
    28,027.50/38,678.03 = 15,280.82/x
  3. Step 3: Cross multiply
    28,027.50x = 38,678.03 × 15,280.82
  4. Step 4: Simplify right side
    28,027.50x = 591,032,014.38
  5. Step 5: Solve for x
    x = 591,032,014.38/28,027.50
  6. Step 6: Final answer
    x = 21,087.58

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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.