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Finding the Fourth Proportional to 12,329.64, 18,497.94 and 3,564.48

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Solution

The fourth proportional to 12,329.64, 18,497.94 and 3,564.48 is: 5,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.64 : 18,497.94 = 3,564.48 : x
  2. Step 2: Convert to fraction form
    12,329.64/18,497.94 = 3,564.48/x
  3. Step 3: Cross multiply
    12,329.64x = 18,497.94 × 3,564.48
  4. Step 4: Simplify right side
    12,329.64x = 65,935,537.17
  5. Step 5: Solve for x
    x = 65,935,537.17/12,329.64
  6. Step 6: Final answer
    x = 5,347.73

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