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Finding the Fourth Proportional to 15,684.41, 21,640.27 and 9,305.69

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Solution

The fourth proportional to 15,684.41, 21,640.27 and 9,305.69 is: 12,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.41 : 21,640.27 = 9,305.69 : x
  2. Step 2: Convert to fraction form
    15,684.41/21,640.27 = 9,305.69/x
  3. Step 3: Cross multiply
    15,684.41x = 21,640.27 × 9,305.69
  4. Step 4: Simplify right side
    15,684.41x = 201,377,597.61
  5. Step 5: Solve for x
    x = 201,377,597.61/15,684.41
  6. Step 6: Final answer
    x = 12,839.35

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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.