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Finding the Fourth Proportional to 14,142.27, 19,516.49 and 7,769.01

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Solution

The fourth proportional to 14,142.27, 19,516.49 and 7,769.01 is: 10,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.27 : 19,516.49 = 7,769.01 : x
  2. Step 2: Convert to fraction form
    14,142.27/19,516.49 = 7,769.01/x
  3. Step 3: Cross multiply
    14,142.27x = 19,516.49 × 7,769.01
  4. Step 4: Simplify right side
    14,142.27x = 151,623,767.13
  5. Step 5: Solve for x
    x = 151,623,767.13/14,142.27
  6. Step 6: Final answer
    x = 10,721.32

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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.