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Finding the Fourth Proportional to 14,142.42, 19,516.02 and 7,855.20

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Solution

The fourth proportional to 14,142.42, 19,516.02 and 7,855.20 is: 10,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.42 : 19,516.02 = 7,855.20 : x
  2. Step 2: Convert to fraction form
    14,142.42/19,516.02 = 7,855.20/x
  3. Step 3: Cross multiply
    14,142.42x = 19,516.02 × 7,855.20
  4. Step 4: Simplify right side
    14,142.42x = 153,302,240.30
  5. Step 5: Solve for x
    x = 153,302,240.30/14,142.42
  6. Step 6: Final answer
    x = 10,839.89

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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.