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Finding the Fourth Proportional to 14,287.20, 19,675.80 and 13,981.92

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Solution

The fourth proportional to 14,287.20, 19,675.80 and 13,981.92 is: 19,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.20 : 19,675.80 = 13,981.92 : x
  2. Step 2: Convert to fraction form
    14,287.20/19,675.80 = 13,981.92/x
  3. Step 3: Cross multiply
    14,287.20x = 19,675.80 × 13,981.92
  4. Step 4: Simplify right side
    14,287.20x = 275,105,461.54
  5. Step 5: Solve for x
    x = 275,105,461.54/14,287.20
  6. Step 6: Final answer
    x = 19,255.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.