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Finding the Fourth Proportional to 13,863.42, 19,133.68 and 8,829.81

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Solution

The fourth proportional to 13,863.42, 19,133.68 and 8,829.81 is: 12,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.42 : 19,133.68 = 8,829.81 : x
  2. Step 2: Convert to fraction form
    13,863.42/19,133.68 = 8,829.81/x
  3. Step 3: Cross multiply
    13,863.42x = 19,133.68 × 8,829.81
  4. Step 4: Simplify right side
    13,863.42x = 168,946,759.00
  5. Step 5: Solve for x
    x = 168,946,759.00/13,863.42
  6. Step 6: Final answer
    x = 12,186.51

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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.