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Finding the Fourth Proportional to 25,784.80, 38,648.40 and 14,696.80

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Solution

The fourth proportional to 25,784.80, 38,648.40 and 14,696.80 is: 22,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.80 : 38,648.40 = 14,696.80 : x
  2. Step 2: Convert to fraction form
    25,784.80/38,648.40 = 14,696.80/x
  3. Step 3: Cross multiply
    25,784.80x = 38,648.40 × 14,696.80
  4. Step 4: Simplify right side
    25,784.80x = 568,007,805.12
  5. Step 5: Solve for x
    x = 568,007,805.12/25,784.80
  6. Step 6: Final answer
    x = 22,028.78

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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.