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Finding the Fourth Proportional to 22,405.40, 33,632.40 and 14,094.80

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Solution

The fourth proportional to 22,405.40, 33,632.40 and 14,094.80 is: 21,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.40 : 33,632.40 = 14,094.80 : x
  2. Step 2: Convert to fraction form
    22,405.40/33,632.40 = 14,094.80/x
  3. Step 3: Cross multiply
    22,405.40x = 33,632.40 × 14,094.80
  4. Step 4: Simplify right side
    22,405.40x = 474,041,951.52
  5. Step 5: Solve for x
    x = 474,041,951.52/22,405.40
  6. Step 6: Final answer
    x = 21,157.49

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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.