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Finding the Fourth Proportional to 12,584.34, 18,869.49 and 8,640.18

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Solution

The fourth proportional to 12,584.34, 18,869.49 and 8,640.18 is: 12,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.34 : 18,869.49 = 8,640.18 : x
  2. Step 2: Convert to fraction form
    12,584.34/18,869.49 = 8,640.18/x
  3. Step 3: Cross multiply
    12,584.34x = 18,869.49 × 8,640.18
  4. Step 4: Simplify right side
    12,584.34x = 163,035,790.11
  5. Step 5: Solve for x
    x = 163,035,790.11/12,584.34
  6. Step 6: Final answer
    x = 12,955.45

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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.