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Finding the Fourth Proportional to 13,706.40, 18,887.16 and 9,923.04

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Solution

The fourth proportional to 13,706.40, 18,887.16 and 9,923.04 is: 13,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.40 : 18,887.16 = 9,923.04 : x
  2. Step 2: Convert to fraction form
    13,706.40/18,887.16 = 9,923.04/x
  3. Step 3: Cross multiply
    13,706.40x = 18,887.16 × 9,923.04
  4. Step 4: Simplify right side
    13,706.40x = 187,418,044.17
  5. Step 5: Solve for x
    x = 187,418,044.17/13,706.40
  6. Step 6: Final answer
    x = 13,673.76

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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.