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Finding the Fourth Proportional to 12,619.68, 17,411.24 and 7,167.84

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Solution

The fourth proportional to 12,619.68, 17,411.24 and 7,167.84 is: 9,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.68 : 17,411.24 = 7,167.84 : x
  2. Step 2: Convert to fraction form
    12,619.68/17,411.24 = 7,167.84/x
  3. Step 3: Cross multiply
    12,619.68x = 17,411.24 × 7,167.84
  4. Step 4: Simplify right side
    12,619.68x = 124,800,982.52
  5. Step 5: Solve for x
    x = 124,800,982.52/12,619.68
  6. Step 6: Final answer
    x = 9,889.39

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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.