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Finding the Fourth Proportional to 18,791.83, 25,931.81 and 10,294.00

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Solution

The fourth proportional to 18,791.83, 25,931.81 and 10,294.00 is: 14,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,791.83 : 25,931.81 = 10,294.00 : x
  2. Step 2: Convert to fraction form
    18,791.83/25,931.81 = 10,294.00/x
  3. Step 3: Cross multiply
    18,791.83x = 25,931.81 × 10,294.00
  4. Step 4: Simplify right side
    18,791.83x = 266,942,158.91
  5. Step 5: Solve for x
    x = 266,942,158.91/18,791.83
  6. Step 6: Final answer
    x = 14,205.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.