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Finding the Fourth Proportional to 21,820.50, 30,115.80 and 12,394.80

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Solution

The fourth proportional to 21,820.50, 30,115.80 and 12,394.80 is: 17,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.50 : 30,115.80 = 12,394.80 : x
  2. Step 2: Convert to fraction form
    21,820.50/30,115.80 = 12,394.80/x
  3. Step 3: Cross multiply
    21,820.50x = 30,115.80 × 12,394.80
  4. Step 4: Simplify right side
    21,820.50x = 373,279,317.84
  5. Step 5: Solve for x
    x = 373,279,317.84/21,820.50
  6. Step 6: Final answer
    x = 17,106.82

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1.5x scale

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.