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Finding the Fourth Proportional to 14,142.64, 19,516.87 and 7,855.02

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Solution

The fourth proportional to 14,142.64, 19,516.87 and 7,855.02 is: 10,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.64 : 19,516.87 = 7,855.02 : x
  2. Step 2: Convert to fraction form
    14,142.64/19,516.87 = 7,855.02/x
  3. Step 3: Cross multiply
    14,142.64x = 19,516.87 × 7,855.02
  4. Step 4: Simplify right side
    14,142.64x = 153,305,404.19
  5. Step 5: Solve for x
    x = 153,305,404.19/14,142.64
  6. Step 6: Final answer
    x = 10,839.94

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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.