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Finding the Fourth Proportional to 13,864.63, 19,133.87 and 8,202.69

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Solution

The fourth proportional to 13,864.63, 19,133.87 and 8,202.69 is: 11,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.63 : 19,133.87 = 8,202.69 : x
  2. Step 2: Convert to fraction form
    13,864.63/19,133.87 = 8,202.69/x
  3. Step 3: Cross multiply
    13,864.63x = 19,133.87 × 8,202.69
  4. Step 4: Simplify right side
    13,864.63x = 156,949,108.44
  5. Step 5: Solve for x
    x = 156,949,108.44/13,864.63
  6. Step 6: Final answer
    x = 11,320.11

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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.