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Finding the Fourth Proportional to 14,145.08, 19,520.86 and 7,857.48

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Solution

The fourth proportional to 14,145.08, 19,520.86 and 7,857.48 is: 10,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.08 : 19,520.86 = 7,857.48 : x
  2. Step 2: Convert to fraction form
    14,145.08/19,520.86 = 7,857.48/x
  3. Step 3: Cross multiply
    14,145.08x = 19,520.86 × 7,857.48
  4. Step 4: Simplify right side
    14,145.08x = 153,384,767.03
  5. Step 5: Solve for x
    x = 153,384,767.03/14,145.08
  6. Step 6: Final answer
    x = 10,843.68

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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.