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Finding the Fourth Proportional to 14,144.25, 19,519.08 and 7,857.21

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Solution

The fourth proportional to 14,144.25, 19,519.08 and 7,857.21 is: 10,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.25 : 19,519.08 = 7,857.21 : x
  2. Step 2: Convert to fraction form
    14,144.25/19,519.08 = 7,857.21/x
  3. Step 3: Cross multiply
    14,144.25x = 19,519.08 × 7,857.21
  4. Step 4: Simplify right side
    14,144.25x = 153,365,510.57
  5. Step 5: Solve for x
    x = 153,365,510.57/14,144.25
  6. Step 6: Final answer
    x = 10,842.96

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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.