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Finding the Fourth Proportional to 14,502.80, 21,757.80 and 4,114.52

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Solution

The fourth proportional to 14,502.80, 21,757.80 and 4,114.52 is: 6,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.80 : 21,757.80 = 4,114.52 : x
  2. Step 2: Convert to fraction form
    14,502.80/21,757.80 = 4,114.52/x
  3. Step 3: Cross multiply
    14,502.80x = 21,757.80 × 4,114.52
  4. Step 4: Simplify right side
    14,502.80x = 89,522,903.26
  5. Step 5: Solve for x
    x = 89,522,903.26/14,502.80
  6. Step 6: Final answer
    x = 6,172.80

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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.