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Finding the Fourth Proportional to 14,372.80, 21,583.80 and 7,811.80

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Solution

The fourth proportional to 14,372.80, 21,583.80 and 7,811.80 is: 11,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.80 : 21,583.80 = 7,811.80 : x
  2. Step 2: Convert to fraction form
    14,372.80/21,583.80 = 7,811.80/x
  3. Step 3: Cross multiply
    14,372.80x = 21,583.80 × 7,811.80
  4. Step 4: Simplify right side
    14,372.80x = 168,608,328.84
  5. Step 5: Solve for x
    x = 168,608,328.84/14,372.80
  6. Step 6: Final answer
    x = 11,731.07

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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.