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Finding the Fourth Proportional to 14,373.12, 21,550.68 and 6,474

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Solution

The fourth proportional to 14,373.12, 21,550.68 and 6,474 is: 9,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,373.12 : 21,550.68 = 6,474 : x
  2. Step 2: Convert to fraction form
    14,373.12/21,550.68 = 6,474/x
  3. Step 3: Cross multiply
    14,373.12x = 21,550.68 × 6,474
  4. Step 4: Simplify right side
    14,373.12x = 139,519,102.32
  5. Step 5: Solve for x
    x = 139,519,102.32/14,373.12
  6. Step 6: Final answer
    x = 9,706.95

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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.