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Finding the Fourth Proportional to 15,208.17, 22,826.60 and 7,817.82

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Solution

The fourth proportional to 15,208.17, 22,826.60 and 7,817.82 is: 11,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.17 : 22,826.60 = 7,817.82 : x
  2. Step 2: Convert to fraction form
    15,208.17/22,826.60 = 7,817.82/x
  3. Step 3: Cross multiply
    15,208.17x = 22,826.60 × 7,817.82
  4. Step 4: Simplify right side
    15,208.17x = 178,454,250.01
  5. Step 5: Solve for x
    x = 178,454,250.01/15,208.17
  6. Step 6: Final answer
    x = 11,734.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.