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Finding the Fourth Proportional to 25,178.80, 37,811.40 and 13,514.80

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Solution

The fourth proportional to 25,178.80, 37,811.40 and 13,514.80 is: 20,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.80 : 37,811.40 = 13,514.80 : x
  2. Step 2: Convert to fraction form
    25,178.80/37,811.40 = 13,514.80/x
  3. Step 3: Cross multiply
    25,178.80x = 37,811.40 × 13,514.80
  4. Step 4: Simplify right side
    25,178.80x = 511,013,508.72
  5. Step 5: Solve for x
    x = 511,013,508.72/25,178.80
  6. Step 6: Final answer
    x = 20,295.39

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1.5x scale

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.