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Finding the Fourth Proportional to 14,834.70, 22,216.05 and 7,893.90

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Solution

The fourth proportional to 14,834.70, 22,216.05 and 7,893.90 is: 11,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.70 : 22,216.05 = 7,893.90 : x
  2. Step 2: Convert to fraction form
    14,834.70/22,216.05 = 7,893.90/x
  3. Step 3: Cross multiply
    14,834.70x = 22,216.05 × 7,893.90
  4. Step 4: Simplify right side
    14,834.70x = 175,371,277.10
  5. Step 5: Solve for x
    x = 175,371,277.10/14,834.70
  6. Step 6: Final answer
    x = 11,821.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.