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Finding the Fourth Proportional to 22,762.02, 34,122 and 14,416.80

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Solution

The fourth proportional to 22,762.02, 34,122 and 14,416.80 is: 21,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.02 : 34,122 = 14,416.80 : x
  2. Step 2: Convert to fraction form
    22,762.02/34,122 = 14,416.80/x
  3. Step 3: Cross multiply
    22,762.02x = 34,122 × 14,416.80
  4. Step 4: Simplify right side
    22,762.02x = 491,930,049.60
  5. Step 5: Solve for x
    x = 491,930,049.60/22,762.02
  6. Step 6: Final answer
    x = 21,611.88

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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.