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Finding the Fourth Proportional to 14,535.68, 20,156.24 and 14,043.20

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Solution

The fourth proportional to 14,535.68, 20,156.24 and 14,043.20 is: 19,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535.68 : 20,156.24 = 14,043.20 : x
  2. Step 2: Convert to fraction form
    14,535.68/20,156.24 = 14,043.20/x
  3. Step 3: Cross multiply
    14,535.68x = 20,156.24 × 14,043.20
  4. Step 4: Simplify right side
    14,535.68x = 283,058,109.57
  5. Step 5: Solve for x
    x = 283,058,109.57/14,535.68
  6. Step 6: Final answer
    x = 19,473.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.