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Finding the Fourth Proportional to 12,329.88, 18,497.25 and 3,564.87

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Solution

The fourth proportional to 12,329.88, 18,497.25 and 3,564.87 is: 5,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.88 : 18,497.25 = 3,564.87 : x
  2. Step 2: Convert to fraction form
    12,329.88/18,497.25 = 3,564.87/x
  3. Step 3: Cross multiply
    12,329.88x = 18,497.25 × 3,564.87
  4. Step 4: Simplify right side
    12,329.88x = 65,940,291.61
  5. Step 5: Solve for x
    x = 65,940,291.61/12,329.88
  6. Step 6: Final answer
    x = 5,348.01

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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.