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Finding the Fourth Proportional to 14,103.70, 19,463.11 and 7,730.71

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Solution

The fourth proportional to 14,103.70, 19,463.11 and 7,730.71 is: 10,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.70 : 19,463.11 = 7,730.71 : x
  2. Step 2: Convert to fraction form
    14,103.70/19,463.11 = 7,730.71/x
  3. Step 3: Cross multiply
    14,103.70x = 19,463.11 × 7,730.71
  4. Step 4: Simplify right side
    14,103.70x = 150,463,591.12
  5. Step 5: Solve for x
    x = 150,463,591.12/14,103.70
  6. Step 6: Final answer
    x = 10,668.38

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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.