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Finding the Fourth Proportional to 14,145.48, 19,520.91 and 7,857.84

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Solution

The fourth proportional to 14,145.48, 19,520.91 and 7,857.84 is: 10,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.48 : 19,520.91 = 7,857.84 : x
  2. Step 2: Convert to fraction form
    14,145.48/19,520.91 = 7,857.84/x
  3. Step 3: Cross multiply
    14,145.48x = 19,520.91 × 7,857.84
  4. Step 4: Simplify right side
    14,145.48x = 153,392,187.43
  5. Step 5: Solve for x
    x = 153,392,187.43/14,145.48
  6. Step 6: Final answer
    x = 10,843.90

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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.