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Finding the Fourth Proportional to 16,767.80, 25,200.30 and 14,629.40

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Solution

The fourth proportional to 16,767.80, 25,200.30 and 14,629.40 is: 21,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.80 : 25,200.30 = 14,629.40 : x
  2. Step 2: Convert to fraction form
    16,767.80/25,200.30 = 14,629.40/x
  3. Step 3: Cross multiply
    16,767.80x = 25,200.30 × 14,629.40
  4. Step 4: Simplify right side
    16,767.80x = 368,665,268.82
  5. Step 5: Solve for x
    x = 368,665,268.82/16,767.80
  6. Step 6: Final answer
    x = 21,986.50

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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.