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Finding the Fourth Proportional to 22,014.40, 32,939.16 and 13,097.20

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Solution

The fourth proportional to 22,014.40, 32,939.16 and 13,097.20 is: 19,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.40 : 32,939.16 = 13,097.20 : x
  2. Step 2: Convert to fraction form
    22,014.40/32,939.16 = 13,097.20/x
  3. Step 3: Cross multiply
    22,014.40x = 32,939.16 × 13,097.20
  4. Step 4: Simplify right side
    22,014.40x = 431,410,766.35
  5. Step 5: Solve for x
    x = 431,410,766.35/22,014.40
  6. Step 6: Final answer
    x = 19,596.75

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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.