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Finding the Fourth Proportional to 18,959.24, 28,435.62 and 5,105

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Solution

The fourth proportional to 18,959.24, 28,435.62 and 5,105 is: 7,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,959.24 : 28,435.62 = 5,105 : x
  2. Step 2: Convert to fraction form
    18,959.24/28,435.62 = 5,105/x
  3. Step 3: Cross multiply
    18,959.24x = 28,435.62 × 5,105
  4. Step 4: Simplify right side
    18,959.24x = 145,163,840.10
  5. Step 5: Solve for x
    x = 145,163,840.10/18,959.24
  6. Step 6: Final answer
    x = 7,656.63

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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.