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Finding the Fourth Proportional to 12,624.35, 17,414.96 and 9,634.95

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Solution

The fourth proportional to 12,624.35, 17,414.96 and 9,634.95 is: 13,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.35 : 17,414.96 = 9,634.95 : x
  2. Step 2: Convert to fraction form
    12,624.35/17,414.96 = 9,634.95/x
  3. Step 3: Cross multiply
    12,624.35x = 17,414.96 × 9,634.95
  4. Step 4: Simplify right side
    12,624.35x = 167,792,220.68
  5. Step 5: Solve for x
    x = 167,792,220.68/12,624.35
  6. Step 6: Final answer
    x = 13,291.16

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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.