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Finding the Fourth Proportional to 14,142.75, 19,517.00 and 7,855.71

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Solution

The fourth proportional to 14,142.75, 19,517.00 and 7,855.71 is: 10,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.75 : 19,517.00 = 7,855.71 : x
  2. Step 2: Convert to fraction form
    14,142.75/19,517.00 = 7,855.71/x
  3. Step 3: Cross multiply
    14,142.75x = 19,517.00 × 7,855.71
  4. Step 4: Simplify right side
    14,142.75x = 153,319,852.79
  5. Step 5: Solve for x
    x = 153,319,852.79/14,142.75
  6. Step 6: Final answer
    x = 10,840.88

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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.