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Finding the Fourth Proportional to 14,122.38, 19,488.83 and 7,834.76

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Solution

The fourth proportional to 14,122.38, 19,488.83 and 7,834.76 is: 10,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.38 : 19,488.83 = 7,834.76 : x
  2. Step 2: Convert to fraction form
    14,122.38/19,488.83 = 7,834.76/x
  3. Step 3: Cross multiply
    14,122.38x = 19,488.83 × 7,834.76
  4. Step 4: Simplify right side
    14,122.38x = 152,690,169.11
  5. Step 5: Solve for x
    x = 152,690,169.11/14,122.38
  6. Step 6: Final answer
    x = 10,811.93

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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.