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Finding the Fourth Proportional to 15,201.50, 20,978.07 and 8,577.50

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Solution

The fourth proportional to 15,201.50, 20,978.07 and 8,577.50 is: 11,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.50 : 20,978.07 = 8,577.50 : x
  2. Step 2: Convert to fraction form
    15,201.50/20,978.07 = 8,577.50/x
  3. Step 3: Cross multiply
    15,201.50x = 20,978.07 × 8,577.50
  4. Step 4: Simplify right side
    15,201.50x = 179,939,395.43
  5. Step 5: Solve for x
    x = 179,939,395.43/15,201.50
  6. Step 6: Final answer
    x = 11,836.95

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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.