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Finding the Fourth Proportional to 15,094.17, 20,830.20 and 8,380.23

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Solution

The fourth proportional to 15,094.17, 20,830.20 and 8,380.23 is: 11,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.17 : 20,830.20 = 8,380.23 : x
  2. Step 2: Convert to fraction form
    15,094.17/20,830.20 = 8,380.23/x
  3. Step 3: Cross multiply
    15,094.17x = 20,830.20 × 8,380.23
  4. Step 4: Simplify right side
    15,094.17x = 174,561,866.95
  5. Step 5: Solve for x
    x = 174,561,866.95/15,094.17
  6. Step 6: Final answer
    x = 11,564.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.