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Finding the Fourth Proportional to 22,225.68, 30,662.19 and 14,566.86

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Solution

The fourth proportional to 22,225.68, 30,662.19 and 14,566.86 is: 20,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,225.68 : 30,662.19 = 14,566.86 : x
  2. Step 2: Convert to fraction form
    22,225.68/30,662.19 = 14,566.86/x
  3. Step 3: Cross multiply
    22,225.68x = 30,662.19 × 14,566.86
  4. Step 4: Simplify right side
    22,225.68x = 446,651,829.02
  5. Step 5: Solve for x
    x = 446,651,829.02/22,225.68
  6. Step 6: Final answer
    x = 20,096.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.