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Finding the Fourth Proportional to 15,422.80, 23,101.80 and 12,830.80

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Solution

The fourth proportional to 15,422.80, 23,101.80 and 12,830.80 is: 19,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.80 : 23,101.80 = 12,830.80 : x
  2. Step 2: Convert to fraction form
    15,422.80/23,101.80 = 12,830.80/x
  3. Step 3: Cross multiply
    15,422.80x = 23,101.80 × 12,830.80
  4. Step 4: Simplify right side
    15,422.80x = 296,414,575.44
  5. Step 5: Solve for x
    x = 296,414,575.44/15,422.80
  6. Step 6: Final answer
    x = 19,219.25

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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.