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Finding the Fourth Proportional to 17,632.84, 24,329.82 and 10,078.78

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Solution

The fourth proportional to 17,632.84, 24,329.82 and 10,078.78 is: 13,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.84 : 24,329.82 = 10,078.78 : x
  2. Step 2: Convert to fraction form
    17,632.84/24,329.82 = 10,078.78/x
  3. Step 3: Cross multiply
    17,632.84x = 24,329.82 × 10,078.78
  4. Step 4: Simplify right side
    17,632.84x = 245,214,903.22
  5. Step 5: Solve for x
    x = 245,214,903.22/17,632.84
  6. Step 6: Final answer
    x = 13,906.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.