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Finding the Fourth Proportional to 14,228.74, 19,633.85 and 7,941.38

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Solution

The fourth proportional to 14,228.74, 19,633.85 and 7,941.38 is: 10,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.74 : 19,633.85 = 7,941.38 : x
  2. Step 2: Convert to fraction form
    14,228.74/19,633.85 = 7,941.38/x
  3. Step 3: Cross multiply
    14,228.74x = 19,633.85 × 7,941.38
  4. Step 4: Simplify right side
    14,228.74x = 155,919,863.71
  5. Step 5: Solve for x
    x = 155,919,863.71/14,228.74
  6. Step 6: Final answer
    x = 10,958.09

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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.